Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:00:33.331620Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:1908.06144.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:00:33.331620Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
55 of 55 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d26ca84e-4426-4236-aae4-f2f2e0cff5ca · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Whitham modu lation theory for (2 +1)-dimensional equations of Kadomtsev-Petviashvili type
Reference 1
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.
Observation 98130ade-0158-4db9-885a-5fba242520dd · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Whitham modulat ion theory for the Kadomtsev- Petviashvili equation
Reference 2
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.
Observation 63a5ec69-bf93-4b52-82da-7a397c8dbdf9 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Whitham modulat ion theory for the two-dimensional Benjamin-Ono equation
Reference 3
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.
Observation 537ffa23-b949-4255-b3ec-fe79eacbe86d · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Unresolved cited work
Reference 4
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.
Observation 8319e070-d351-449f-bd78-4843bba658a6 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Unresolved cited work
Reference 5
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.
Observation 2fec2da7-bfeb-4016-842b-054e2d78946a · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Unresolved cited work
Reference 6
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.
Observation f1ec603c-9305-4cb1-8356-76f02b8bbb05 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Line soliton interactions of the Kadomtse v-Petviashvili equation
Reference 7
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.
Observation 87969e72-d7d9-41a1-b78c-06e6427d23cc · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Soliton solutions of th e Kadomtsev-Petviashvili II equation
Reference 8
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.
Observation 564f6f62-37be-47d0-abca-7e0968ce77f3 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations On a family of solutions of the Kadomtsev-Petviashvili equation which also satisfy the Toda lattice hierarchy
Reference 9
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.
Observation 28a1d749-9bba-4943-b81c-f26081eca937 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Soli ton interactions of the Kadomtsev- Petviashvili equation and the generation of large-amplitu de water waves
Reference 10
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.
Observation 68687bd3-29f4-4a47-9803-8674e518436b · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Unresolved cited work
Reference 11
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.
Observation 5b3a87ec-1de2-4d47-ad8f-69a25382830b · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Towards an inverse scattering theory for non-decaying potentials of the heat equation
Reference 12
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.
Observation b201351b-2ea4-411a-ba9e-9719f7bda584 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Extended resolvent and inverse scattering with an application to KPI
Reference 13
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.
Observation afef4a8b-1636-4a7a-828b-5028d7b8695c · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Building an extended resolvent of the heat operator via twisting transformations
Reference 14
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.
Observation fda1fed2-7e04-43cc-b81c-e1859b870130 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations On the equivalence of di fferent approaches for generating multisoliton solutions of the KPII equation s
Reference 15
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.
Observation 54160447-bbad-418c-9242-06fd235ee377 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Mach reflection for the two dime nsional Burgers equation
Reference 16
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.
Observation 62b400aa-15c3-48af-8261-fc6741920ac2 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves
Reference 17
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.
Observation e947f51c-e443-4b98-ac01-2e0bad2b7b08 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Stability for systems of conservation l aws in several space dimensions
Reference 18
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.
Observation c029b8b6-e969-421d-8ada-ec237b0783ec · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Unresolved cited work
Reference 19
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.
Observation a272dc57-6cc1-4e5e-acb7-45e7b04d1414 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Analytic solution of the two-dimensiona l Korteweg-de Vries equation,
Reference 20
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.
Observation b82764ab-f735-4f7b-89c9-933811815080 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Dispersive shock waves and mod ulation theory
Reference 21
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.
Observation 2e01ff15-9cd9-41e9-a875-e3b188f15036 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations The characte rization of two-component (2 +1)- dimensional integrable systems of hydrodynamic type
Reference 22
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.
Observation 759b9850-478a-4409-a30e-67b99d202914 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations On the integr ability of (2 +1)-dimensional quasilinear systems
Reference 23
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.
Observation 245d603f-b125-45e2-8791-6b37baebaf15 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations The Haantjes tensor and double waves for multi- dimensional systems of hydrodynamic type: a necessary cond ition for integrability
Reference 24
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.
Observation b5c664e2-02c6-4473-8ed0-7a17e8973c06 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Dispersive deformations of hydrodynamic reductions of (2 +1)-D dispersionless integrable systems
Reference 25
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.
Observation 5ca09c5a-79ab-403e-a03f-e84006e63a2b · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Uniqueness for multidimensi onal hyperbolic systems with commuting Jacobians
Reference 26
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.
Observation b0d4d8dc-44c0-4e8c-b990-754e05e4881d · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Reductions of the Benney eq uations
Reference 27
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.
Observation 207d5e62-0d19-4b06-b132-a414cc05be4f · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Numerical study of the Kadomtsev-Petviashvili equation and dispersive shock waves
Reference 28
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.
Observation f63aa326-6c1c-431a-b35b-19b3fcae8ddd · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations On Xm-forming sets of eigenvectors
Reference 29
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.
Observation 220daba7-21d6-4988-83c0-6a78aafa1e5b · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Wronskian structure s of solitons for soliton equations
Reference 30
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.
Observation 058545e6-b795-45b6-b5e2-f2d497bfd67a · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Infeld and G
Reference 31
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.
Observation 6da71e84-4717-46cf-a851-c7d6a213a05e · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations On the stabilit y of solitary waves in weakly dispersive media
Reference 32
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.
Observation 408e45d1-7079-40dc-bbdb-e36d5c1a17a5 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations On exact solutions of nonlinear acoustic equations
Reference 33
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.
Observation 9252ff69-b7e7-4cef-9f92-418f8e8493ea · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Numerical study of the KP equat ion for non-periodic waves
Reference 34
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.
Observation 37a0fde8-10e4-4e8e-9ad6-fae9052feaa4 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Self-similar solutions of two-dimensio nal conservation laws
Reference 35
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.
Observation e833b619-7364-45bd-b6bb-cf57d70d6ff2 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Numerical study of oscillatory regimes in the Kadomtsev- Petviashvili equation
Reference 36
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.
Observation 416c53f6-5c00-4bb8-b83d-a1fbda9041b3 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Y oung diagrams and N-soliton solutions of the KP equation,
Reference 37
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.
Observation 566d318c-0c43-410c-8388-c99d5f376000 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations A method for solving the dispersionless KP e quation and its exact solutions
Reference 38
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.
Observation 37b632c6-4ee7-47ff-ae47-8d4c6c54f5f4 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations A method for solving the dispe rsionless KP equation and its exact solutions. II
Reference 39
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.
Observation 940d2a74-4a44-4017-9c8f-7a1e053651da · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations KP solitons, total positi vity, and cluster algebras
Reference 40
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.
Observation 605e541b-2914-4dcc-b8dd-5ab3ebbff663 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Unresolved cited work
Reference 41
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.
Observation 862e5b54-d3b1-4a34-ba22-958acaf91047 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Quasiconformal mappings and solutions of the dispersionless KP hierarchy
Reference 42
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.
Observation 006e1993-86a1-47b2-b6c0-2f00c9097daa · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Method of averaging for two-dimensio nal “integrable
Reference 43
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.
Observation 1502bdae-e312-47cc-8c2f-0ce5c46a2868 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Solitonic dispersive hydrodynamics: Theory and observation
Reference 44
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.
Observation b77fe4d0-3d96-429b-93e1-dff5eaaee0f5 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations The Cauchy problem on th e plane for the dispersionless Kadomtsev-Petviashvili equation
Reference 45
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.
Observation af701b2e-5490-412a-8512-a66612567d13 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations On the solutions of the d KP equation: the nonlinear Riemann Hilbert problem, longtime behaviour, implicit solutions a nd wave breaking
Reference 46
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.
Observation 1c141789-9fce-4bb0-8921-afb8efd73349 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Solvable vector nonlin ear Riemann problems, exact implicit solutions of dispersionless PDEs and wave breaking
Reference 47
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.
Observation 78878ef0-9f53-4ac8-8f1b-1e62e539bf7f · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations An N soliton resonance solution for the KP equation: interactio n with change of form and velocity
Reference 48
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.
Observation 19150624-d09c-4e14-9352-dbcab293e7ce · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Unresolved cited work
Reference 49
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.
Observation f0316bb0-ccee-4cfe-baef-53b40cc3ea88 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Novikov, S
Reference 50
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.
Observation a26b2cc8-b832-41ca-9884-e0d786c766fb · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Unresolved cited work
Reference 51
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.
Observation 1a50cb4d-6c91-4e38-aba8-3724f71c00ea · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Classification of integrable hydrodynam ic chains and generating functions of conservation laws
Reference 52
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.
Observation 15816fd3-91d8-4f4d-b9da-c1cb01cdb8e9 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Integrability of the Gibbons-Tsarev sys tem
Reference 53
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.
Observation 39ddb7ee-a561-4b83-a37a-d2596b6cd813 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Non-linear dispersive waves
Reference 54
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.
Observation e6e84160-79dc-4315-954a-7eeae7553772 · outbound
Integrability, exact reductions and special solutions of the KP-Whitham equations Unresolved cited work
Reference 55
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.
No inbound Pith citation observations are available.