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Paper Citation Record · LEDGER

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations

As of 16 August 2026, this Paper Citation Record lists 81 of 81 outbound references and 0 inbound Pith citation observations for arXiv:2607.08401.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.08401 v1

Coverage vector

measured 81 of 81 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T08:01:17.701951Z

measured 81 of 81 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

81 of 81 outbound references displayed

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  • verified fuzzy14
  • unresolved3
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9a4ffce7-93fa-4f64-870c-c66330b35e4c · outbound

This paper cites an unresolved cited work.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Unresolved cited work

Reference 1

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f2985246-f329-424e-bd3d-3c88a082de1e · outbound

This paper cites Domain walls in the coupled Gross-Pitaevskii equations.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Domain walls in the coupled Gross-Pitaevskii equations

Reference 2

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a398204a-b37d-4f06-b1a1-4a421a175c9b · outbound

This paper cites Orbital stability of the black soliton for the quintic Gross-Pitaevskii equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Orbital stability of the black soliton for the quintic Gross-Pitaevskii equation

Reference 3

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f1064572-e3a1-40c1-ab66-a6df782b8a01 · outbound

This paper cites Nonlinear dynamics of reaction-diffusion wave trains under large and fully nonlocalized modulations.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Nonlinear dynamics of reaction-diffusion wave trains under large and fully nonlocalized modulations

Reference 4

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 23b9034f-909e-43c8-8d0f-2414596818ed · outbound

This paper cites 11 Under review as a conference paper at ICLR 2026 Ricky T.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations 11 Under review as a conference paper at ICLR 2026 Ricky T

Reference 5

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Source-reported events for the cited work

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Observation 3793d3b7-7959-4c1b-a4f5-f8c79090a598 · outbound

This paper cites Stability of cnoidal waves.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability of cnoidal waves

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5072892e-dc2b-44d3-b613-8468cc021cf4 · outbound

This paper cites Positivity properties of the Fourier transform and the stability of periodic travelling-wave solutions.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Positivity properties of the Fourier transform and the stability of periodic travelling-wave solutions

Reference 7

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1422eb1d-bc5e-4498-84ae-009e7d7820e8 · outbound

This paper cites Lectures on nonlinear wave motion.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Lectures on nonlinear wave motion

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6c85d3ea-e5cf-4638-91c3-9c5c7c2cbb64 · outbound

This paper cites Co-periodic stability of periodic waves in some Hamiltonian PDEs.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Co-periodic stability of periodic waves in some Hamiltonian PDEs

Reference 9

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 68574b97-8811-4711-9c43-25afaea0e883 · outbound

This paper cites Stability of periodic waves in Hamiltonian PDEs.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability of periodic waves in Hamiltonian PDEs

Reference 10

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9050e137-f335-45fc-8e40-5715af28d592 · outbound

This paper cites Orbital stability of the black soliton for the Gross- Pitaevskii equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Orbital stability of the black soliton for the Gross- Pitaevskii equation

Reference 11

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 388dc675-d3e7-4063-bc7c-c586909822f3 · outbound

This paper cites The initial-value problem for the Korteweg-de Vries equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations The initial-value problem for the Korteweg-de Vries equation

Reference 12

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 07132c39-2312-434f-815c-746feb9d0fce · outbound

This paper cites Stability of solitary waves in higher-order Sobolev spaces.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability of solitary waves in higher-order Sobolev spaces

Reference 13

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation bf09e17e-29a3-4d47-91b8-4e11e172db4b · outbound

This paper cites KdV cnoidal waves are spectrally stable.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations KdV cnoidal waves are spectrally stable

Reference 14

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 17e2a8ea-c58f-4431-b408-07615e0e707f · outbound

This paper cites Essai sur la th´ eorie des eaux courantes.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Essai sur la th´ eorie des eaux courantes

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8d6545eb-70eb-4b36-908e-841b41e1a693 · outbound

This paper cites Orbital stability of plane waves in the Klein–Gordon Equation against localized perturbations.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Orbital stability of plane waves in the Klein–Gordon Equation against localized perturbations

Reference 16

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b2976a64-f974-435c-abe1-58feb800ed18 · outbound

This paper cites Cnoidal-type surface waves in deep water.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Cnoidal-type surface waves in deep water

Reference 17

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation df2d631b-4475-45c0-abdd-411b8af5f4f5 · outbound

This paper cites On asymptotic stability in 3D of kinks for the ϕ4 model.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations On asymptotic stability in 3D of kinks for the ϕ4 model

Reference 18

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 77550671-bdbd-43ed-a372-953ade17aa62 · outbound

This paper cites an unresolved cited work.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Unresolved cited work

Reference 19

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 10a59e9c-db25-43c5-9fac-1717713288d0 · outbound

This paper cites The orbital stability of the cnoidal waves of the Korteweg-de Vries equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations The orbital stability of the cnoidal waves of the Korteweg-de Vries equation

Reference 20

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e7e8b3d4-0965-4355-8fda-c078af9869a6 · outbound

This paper cites The dynamics of modulated wave trains.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations The dynamics of modulated wave trains

Reference 21

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 88985e5d-c48b-4cc6-a169-a02e44d6d1f3 · outbound

This paper cites On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data II. Perturbations with finite moments.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data II. Perturbations with finite moments

Reference 22

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 593abbf3-d83d-49fe-b249-2d5ff66d5065 · outbound

This paper cites Dispersive shock waves and modulation theory.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Dispersive shock waves and modulation theory

Reference 23

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0a2ce9f2-d1bd-4884-9139-d712cb56b85c · outbound

This paper cites Engel and R.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Engel and R

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3366a3b6-2083-4ad5-9ddb-0d902ef12038 · outbound

This paper cites an unresolved cited work.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Unresolved cited work

Reference 25

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 63fd7cd5-94f0-4620-8ab8-155fababce8c · outbound

This paper cites Orbital stability in the cubic defocusing NLS equation: I. Cnoidal periodic waves.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Orbital stability in the cubic defocusing NLS equation: I. Cnoidal periodic waves

Reference 26

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 96981c0d-c1dc-41fe-96a2-241bf7c4ec84 · outbound

This paper cites Singer and H.-T.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Singer and H.-T

Reference 27

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a82432d2-02ec-4da4-a865-9d3de0ce665e · outbound

This paper cites Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation

Reference 28

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ee60423c-2f9f-4402-a84c-eab11b0e85ea · outbound

This paper cites Geyer and D.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Geyer and D

Reference 29

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 95a94047-9c5f-4a78-9824-6ebf807db14c · outbound

This paper cites Stability theory of solitary waves in the presence of symmetry. I.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability theory of solitary waves in the presence of symmetry. I

Reference 30

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a7ea8702-0030-472a-9243-ab2e84210d95 · outbound

This paper cites Stability theory of solitary waves in the presence of symmetry. II.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability theory of solitary waves in the presence of symmetry. II

Reference 31

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d23e7038-8d18-493a-9596-a3089bd6a75e · outbound

This paper cites On the spectra of periodic waves for infinite-dimensional Hamiltonian systems.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations On the spectra of periodic waves for infinite-dimensional Hamiltonian systems

Reference 32

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8f70621d-df51-476c-bb6c-58120ddc258f · outbound

This paper cites KdV breathers on a cnoidal wave background.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations KdV breathers on a cnoidal wave background

Reference 33

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f6e0e15b-2d7c-4c63-86f5-a17716aaa137 · outbound

This paper cites Holmer, P.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Holmer, P

Reference 34

Resolution
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arxiv_id, observed 2026-07-10T08:06:57.854379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:b8cebd3f5dbe7f5c2bdde2ed313f01fa175d5d4bb64225fdf7aacb5d0e1b5479

Observation 9959db93-7a96-4db9-a136-30d2dfecc3a4 · outbound

This paper cites Explicit solutions from eigenfunction symmetry of the Korteweg–de Vries equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Explicit solutions from eigenfunction symmetry of the Korteweg–de Vries equation

Reference 35

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.647663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:2e44894e4fd1bd2a22f13fee125c527f19b824eb79792142ec953e2df616f140

Observation 7728d05a-5f0f-490e-8d30-87bbb15d9aac · outbound

This paper cites Dispersive decay of small data solutions for the KdV equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Dispersive decay of small data solutions for the KdV equation

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:06:58.207935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:b48b590cc2dd23163ae9b1a4d0955de62dc915c4b70e2d2307cbb5caa2321c4a

Observation 19a51660-8f28-4b54-9aec-3d82d550b639 · outbound

This paper cites Mixing in reaction-diffusion systems: large phase offsets.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Mixing in reaction-diffusion systems: large phase offsets

Reference 37

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.615221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:a6185c3a21ac6b8f805d93092ba4fa9a98f6c6215a973c824bfde07f08e5ca81

Observation 54eca1fa-11e2-4098-bba0-c9a66061d21a · outbound

This paper cites Weak nonlinear dispersive waves: A discussion centered around the Korteweg-de Vries equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Weak nonlinear dispersive waves: A discussion centered around the Korteweg-de Vries equation

Reference 38

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.547392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:a5312f452c3d44e03af0b778bea372063279b7bede147ab3e41f6460459f0e1c

Observation 9177abe7-6809-412b-aacc-10d917b8ffb7 · outbound

This paper cites Recent progress on the problem of soliton resolution.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Recent progress on the problem of soliton resolution

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:06:58.211148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:7ada1c1e5bf783d2c2b092af56614723129a49def53b74fed1b48e67990cff94

Observation 30df043a-8039-4630-a8b2-1428c3c9758d · outbound

This paper cites Nonlinear stability of periodic traveling wave solutions of the generalized Korteweg-de Vries equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Nonlinear stability of periodic traveling wave solutions of the generalized Korteweg-de Vries equation

Reference 40

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.577888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:59071a08a27fea9ecb79a00b092a7c529340c1db1f8937556519ae9286ac0049

Observation 99714cdc-18d4-4938-b280-eeb5f0af362d · outbound

This paper cites Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations

Reference 41

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.622358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:2a02acb57b1f5764f31497f6778af93b772c6c04049e818dc4cba37f8e43f520

Observation d6063f35-07f3-40d5-8df3-36a6e5d22a3f · outbound

This paper cites Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case

Reference 42

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.638869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:2cdc1f56cce186697a8b048eeb596d0b2814718c8171518266c635ffe0b6acc5

Observation 2e9e63c1-ddb7-448c-88a9-1ee8cbfecf12 · outbound

This paper cites Nonlinear stability of viscous roll waves.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Nonlinear stability of viscous roll waves

Reference 43

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.624452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:9849aea0b18c958476bc2b4e03a35dd1ddfe71f72c08b3fd6f4f51ed337efd35

Observation 472a1edd-0166-46f4-a3b6-c5ca7baa6f28 · outbound

This paper cites Multidimensional stability of planar travelling waves.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Multidimensional stability of planar travelling waves

Reference 44

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.630182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:d892d38285d11ae1a75fb6ca9151803b89641deb395ed96446dcaca443df30f3

Observation 9a303d29-8ff1-458e-a50c-0068d6b79333 · outbound

This paper cites Kapitula and K.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Kapitula and K

Reference 45

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.620511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:ed56bc4ef73b1e239cd34848fe7c70d606bd464887cc12422f52613294d95371

Observation 356905a9-e193-4c8b-95f3-f0ecc55be037 · outbound

This paper cites Kato.Perturbation theory for linear operators.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Kato.Perturbation theory for linear operators

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:06:58.199071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:eaeab6f0abbf4c5711ebd82ff448141a58b9540e52acf7e9883189216b85d9e6

Observation 114cb08e-a649-4b15-9b0c-067136deb3f9 · outbound

This paper cites Xli. on the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Xli. on the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves

Reference 47

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.561431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:5a091335005216fd8aabf8b7bdf585df42c345bf879af902950129400216cd6e

Observation 737a72f7-0919-418e-914e-86ff6324cafc · outbound

This paper cites Kuchment.Floquet theory for partial differential equations.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Kuchment.Floquet theory for partial differential equations

Reference 48

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.628599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:9153e16dfd4f0c5738a921d93e6fe0f54189d5fe56849e38db75947a93c8a192

Observation 77525553-ef60-4991-800f-f59ef42e4ca7 · outbound

This paper cites an unresolved cited work.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-07-10T08:06:58.197411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:8e1da113ae5a51ba574ae15d7e0315753c8c0ff8f6d243bf20d84a81cb7cddcc

Observation 906f90f2-fb7f-47de-a3e5-1f8cae7fdd34 · outbound

This paper cites Stability of stationary waves in nonlinear weakly dispersive media.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability of stationary waves in nonlinear weakly dispersive media

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:06:58.200750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:708e319d4f1afcd003a527fd50e810fb643eae721aab56b4052e38d831fc24b0

Observation 9074ee6c-b136-4a88-ac4b-4afb5ea21ff9 · outbound

This paper cites Integrals of nonlinear equations of evolution and solitary waves.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Integrals of nonlinear equations of evolution and solitary waves

Reference 51

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.640807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:7d6417435cfca5c12561aa5a54061f2e28b5c0d2f6d7ed7146ba837be271c2a7

Observation 9beb4183-240b-4c70-ba13-2a62f209d08b · outbound

This paper cites Periodic solutions of the KdV equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Periodic solutions of the KdV equation

Reference 52

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.576201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:7f38f35c95933fc8af1e0aa07e5157285b987fc275a01b59f9c19cc3acf3db9a

Observation 15178f4c-65fe-4e99-8c91-53c3379162af · outbound

This paper cites Lewin.Spectral theory and quantum mechanics.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Lewin.Spectral theory and quantum mechanics

Reference 53

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.635217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:7ab495430393b583ce8a62d08b394e633554f1e99286bf9ae2071473c1719a58

Observation f3c14fd9-e55a-4f4c-8e7b-db6f047fd001 · outbound

This paper cites Stability and instability of traveling solitonic bubbles.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability and instability of traveling solitonic bubbles

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:06:58.201873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:2d903b46939c00667fc769ced52c88924f52ea96324931add841f7a99e94cf2e

Observation 7a6d4cc5-2085-4481-bde5-717caa253d8f · outbound

This paper cites On the stability of KdV multi-solitons.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations On the stability of KdV multi-solitons

Reference 55

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.624024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:a2806f6a31f9e9acc7d92bdbb1e208930ca62cd1252ca361bd708a86add5a2d4

Observation a6d7d3a7-7fcc-4928-b33b-ca394e9bf711 · outbound

This paper cites Asymptotic stability of solitons for subcritical generalized KdV equations.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Asymptotic stability of solitons for subcritical generalized KdV equations

Reference 56

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.586078Z

Source-reported events for the cited work

correction dated 2003-02-12. Source: crossref record 10.1007/s002050200192->10.1007/s002050100138:correction, observed 2026-07-11T03:09:56.753248+00:00. This notice travels one citation hop only.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:df14d9e6ecae0b7b1f1cdf597cb22fad74fb38d57c14b03369fe6d246f04293b

Observation 7e464dfa-1481-4885-84be-542210cd2f68 · outbound

This paper cites Stability for the Korteweg-de Vries equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability for the Korteweg-de Vries equation

Reference 57

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.644203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:6c2be40c1af0b5e001f3a08e95f668b909458595f8f83775ee00112066395b99

Observation 52053192-cc90-41cc-a6b2-45f6d3e58623 · outbound

This paper cites Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions

Reference 58

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.584110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:7fb3850fc50ae430feca88aa772fc1c1f8e70076d6fe1d5be9c6654b10a90746

Observation 49177642-158c-4f15-8916-b8af9e333d02 · outbound

This paper cites Korteweg-deVriesequationandgeneraliza- tions. II. Existence of conservation laws and constants of motion.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Korteweg-deVriesequationandgeneraliza- tions. II. Existence of conservation laws and constants of motion

Reference 59

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.598103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:066c27806cda144fa7b995ab82724030ab9a64b4f61ead1a4c1fa2a77dc7bada

Observation 421e5e6f-754d-46d8-9f0e-c219197507e4 · outbound

This paper cites Stability of line solitons for the KP-II equation in R2.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability of line solitons for the KP-II equation in R2

Reference 60

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.604611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:31f2e5444f8af342e283f5cd934843070832b7baf4e7cb179d5e880788ff2015

Observation 2466a7a5-b6b8-4c68-be76-5dcf61e70c2c · outbound

This paper cites Stability of line solitons for the KP-II equation in R2. II.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability of line solitons for the KP-II equation in R2. II

Reference 61

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.639062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:a45ea261352b661fa3729e6bff1d6c63eb808b05e995e7d7cc3b8fdb6700aafe

Observation 53edce1a-e226-464d-bb45-22a06bb40694 · outbound

This paper cites Stability of Benney-Luke line solitary waves in 2 dimensions.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability of Benney-Luke line solitary waves in 2 dimensions

Reference 62

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.604442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:aa5d172e0e693988342288f3282a87965ca46fd6938cadf1919a7cc6cdcef648

Observation 9e0289ba-385d-4a2e-86dc-b3dea0da87f8 · outbound

This paper cites Stability of the line soliton of the KP-II equation under periodic transverse perturbations.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability of the line soliton of the KP-II equation under periodic transverse perturbations

Reference 63

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.620323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:206e5867af555c2514b18c558bc9c8ee7ae4e4df3be73ee6f4d0c9929ec52d3b

Observation 5a724792-8aa5-4f05-8143-5a9f0eb4773d · outbound

This paper cites an unresolved cited work.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Unresolved cited work

Reference 64

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.635635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:a8c4f52103dca145525bf3c66386ec9bc030e9921debe0c6ee6ff3300ea7e5d3

Observation 2b323236-0730-40c5-b7c6-bff3d60611e8 · outbound

This paper cites On the Hamiltonian structure of evolution equations.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations On the Hamiltonian structure of evolution equations

Reference 65

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.599077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:7a3db966aff0c039de50d626203e8e10bc3e7057da53e0aba0fdd11ad9c35b44

Observation 68ebe451-952e-4f6c-b363-c03a943d7928 · outbound

This paper cites Shallow water cnoidal wave interactions.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Shallow water cnoidal wave interactions

Reference 66

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.637014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:aae50c211dd6e8949df18dea9a3a920d21bff6338e4261c7260ea44718df80dc

Observation 434e18ea-4045-444a-8a0e-644b9b844443 · outbound

This paper cites Reed and B.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Reed and B

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:06:58.189644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:d844f4266cf781e6aceb31a19d273a8ba663749e06d509605d5863e70452a4cf

Observation 0c5f9a7a-3dee-48d6-9d6d-6f29df0a6681 · outbound

This paper cites Stability and dynamics of planar fronts in reaction-diffusion systems under nonlocalized perturbations.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability and dynamics of planar fronts in reaction-diffusion systems under nonlocalized perturbations

Reference 68

Resolution
verified exact
arxiv_id, observed 2026-07-10T08:06:57.850696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:8f0853517ee6cfc8ec6760d5c8b816fbe53af0ee60328d22fcfdb9007d332f5b

Observation c08b55a8-61b7-498a-be72-8a139fb37949 · outbound

This paper cites Linear asymptotic stability and modulation behavior near periodic waves of the Korteweg– de Vries equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Linear asymptotic stability and modulation behavior near periodic waves of the Korteweg– de Vries equation

Reference 69

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.567111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f6fd9b45-b05d-4e82-967d-b5b89f4a9109 · outbound

This paper cites Stability and instability of the KdV solitary wave under the KP-I flow.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability and instability of the KdV solitary wave under the KP-I flow

Reference 70

Resolution
verified exact
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Observation a339c7bc-8574-435e-8496-121d56279cb5 · outbound

This paper cites Diffusive mixing of periodic wave trains in reaction- diffusion systems.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Diffusive mixing of periodic wave trains in reaction- diffusion systems

Reference 71

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.618941Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d7415368-1efa-48bf-b8c3-6789e2fd0c06 · outbound

This paper cites Scarpellini.Stability, instability, and direct integrals.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Scarpellini.Stability, instability, and direct integrals

Reference 72

Resolution
verified fuzzy
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Observation edd68e5b-1518-464f-82f4-a83b3be9e9cb · outbound

This paper cites Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:06:58.185505Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9e2860d4-4122-4d11-a3dd-b249d2ae35ce · outbound

This paper cites Nonlinear diffusive stability of spatially periodic solutions—abstract theorem and higher space dimensions.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Nonlinear diffusive stability of spatially periodic solutions—abstract theorem and higher space dimensions

Reference 74

Resolution
verified fuzzy
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source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:c4c7bf48b3006fd42aff6ee15b270271e2937b55dfed984f22935cb5be921cbb

Observation c1dacefd-06ea-4834-ac32-5ea8b5cd1468 · outbound

This paper cites Schneider and H.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Schneider and H

Reference 75

Resolution
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Observation 5d7fc04d-f312-48bd-8f90-12a730759316 · outbound

This paper cites an unresolved cited work.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Unresolved cited work

Reference 76

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:0a933c04ddaf1599d13e7a57a6fd5b73442cbb3c40e9f1ce685399cee582a320

Observation 5272691d-d1f7-4dc8-9396-fd16c2d121fb · outbound

This paper cites Non-linear dispersive waves.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Non-linear dispersive waves

Reference 77

Resolution
verified exact
arxiv_id, observed 2026-07-10T08:06:57.569458Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:14cb52719624765d179b3a9de4bf44bd36e680368e7ccb9db902ab6add9ce362

Observation 556d5998-6816-4ddd-91af-cfb34ed59ec7 · outbound

This paper cites Stability for line solitary waves of Zakharov-Kuznetsov equation.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Stability for line solitary waves of Zakharov-Kuznetsov equation

Reference 78

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.613868Z

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Observation 3703b73a-d620-43c0-8a6a-89bdd804b7ad · outbound

This paper cites Zettl.Sturm-Liouville theory.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Zettl.Sturm-Liouville theory

Reference 79

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.630022Z

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Observation a817e76e-8069-4329-8966-d2a694eb1739 · outbound

This paper cites an unresolved cited work.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Unresolved cited work

Reference 80

Resolution
unresolved
raw_fallback, observed 2026-07-10T08:06:58.180916Z

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Observation 08824984-8167-4980-89f9-c25b1e2d5092 · outbound

This paper cites Forward-modulated damping estimates and nonlocalized stability of periodic Lugiato-Lefever waves.

Nonlinear stability of periodic waves in the Korteweg-de Vries equation under localized perturbations Forward-modulated damping estimates and nonlocalized stability of periodic Lugiato-Lefever waves

Reference 81

Resolution
verified exact
doi, observed 2026-07-10T08:06:57.571618Z

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source=pdf_text observed=2026-07-10T08:01:17.701951Z digest=sha256:77a6138b3d18d41961e9757ac0cb1c13ed201532e27f3b2d5d5b3b622ba01a57

Pith citing papers

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