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Source: paper_references, paper_reference_links, observed 2026-08-12T14:15:11.141784Z
Paper Citation Record · LEDGER
The generalized Darboux matrices with the same poles and their applications
As of 13 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2411.15599.
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Pith citing papers itemized under the disclosed page cap.
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Reference resolution
30 of 30 outbound references displayed
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Outbound references
Observation 2c20fda6-d929-4275-9832-f2b3e8ff9a6f · outbound
This paper cites The inverse scattering transform-Fourier analysis for nonlinear problems Stud.
The generalized Darboux matrices with the same poles and their applications The inverse scattering transform-Fourier analysis for nonlinear problems Stud
Reference 1
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- raw_fallback, observed 2026-08-12T14:15:11.596526Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ad772740-0d9d-4a58-93c6-d4fe70dedee8 · outbound
This paper cites Integrable nonlocal nonlinear Schr \"o dinger equation.
The generalized Darboux matrices with the same poles and their applications Integrable nonlocal nonlinear Schr \"o dinger equation
Reference 2
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- raw_fallback, observed 2026-08-12T14:15:11.582771Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 66738440-7ce6-4e8f-b6d8-bee8d4877aa3 · outbound
This paper cites A binary Darboux transformation for the Toda lattice.
The generalized Darboux matrices with the same poles and their applications A binary Darboux transformation for the Toda lattice
Reference 3
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- raw_fallback, observed 2026-08-12T14:15:11.568475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7bd53a77-dbd1-4ef0-91e1-ed4a584842ea · outbound
This paper cites Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background.
The generalized Darboux matrices with the same poles and their applications Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background
Reference 4
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- raw_fallback, observed 2026-08-12T14:15:11.555511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 61ab6602-5e10-4543-8399-9f7895d02afc · outbound
This paper cites Algebraic construction of the Darboux matrix revisited.
The generalized Darboux matrices with the same poles and their applications Algebraic construction of the Darboux matrix revisited
Reference 5
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- raw_fallback, observed 2026-08-12T14:15:11.541529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6286d4af-56ff-47bc-8196-25383d72b05d · outbound
This paper cites Multicomponent integrable wave equations I.
The generalized Darboux matrices with the same poles and their applications Multicomponent integrable wave equations I
Reference 6
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- raw_fallback, observed 2026-08-12T14:15:11.526673Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f40530ee-a9b1-4b82-8157-467ff3545b33 · outbound
This paper cites Noncommutative bispectral Darboux transformations.
The generalized Darboux matrices with the same poles and their applications Noncommutative bispectral Darboux transformations
Reference 7
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- raw_fallback, observed 2026-08-12T14:15:11.512337Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8a6a776b-1449-4742-b4e1-1b17059a4d2f · outbound
This paper cites Darboux transformations in integrable systems: theory and their applications to geometry.
The generalized Darboux matrices with the same poles and their applications Darboux transformations in integrable systems: theory and their applications to geometry
Reference 8
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- raw_fallback, observed 2026-08-12T14:15:11.498488Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6783a28a-ef81-4bcb-8ae2-d006c4b809f7 · outbound
This paper cites Nonlinear Schr \"o dinger equation: generalized Darboux transformation and rogue wave solutions.
The generalized Darboux matrices with the same poles and their applications Nonlinear Schr \"o dinger equation: generalized Darboux transformation and rogue wave solutions
Reference 9
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- verified fuzzy
- raw_fallback, observed 2026-08-12T14:15:11.483119Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f77d1b6d-3df2-4294-850a-debe5fb6df27 · outbound
This paper cites Linear stability of exact solutions for the generalized Kaup-Boussinesq equation and their dynamical evolutions.
The generalized Darboux matrices with the same poles and their applications Linear stability of exact solutions for the generalized Kaup-Boussinesq equation and their dynamical evolutions
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:15:11.469477Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 09c650b0-a15a-4bd4-97cd-45615e842c8f · outbound
This paper cites Determinant representation of n -times Darboux transformation for the defocusing nonlinear Schr \"o dinger equation.
The generalized Darboux matrices with the same poles and their applications Determinant representation of n -times Darboux transformation for the defocusing nonlinear Schr \"o dinger equation
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:15:11.454603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a29bec0d-a78d-4f6b-97ca-3df389b47b65 · outbound
This paper cites Two-component integrable systems modelling shallow water waves: the constant vorticity case.
The generalized Darboux matrices with the same poles and their applications Two-component integrable systems modelling shallow water waves: the constant vorticity case
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:15:11.440722Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation dc1a69fb-d068-47d4-80a6-5ee9b9ef76d5 · outbound
This paper cites Polynomial and rational matrices: applications in dynamical systems theory , Springer, 2007.
The generalized Darboux matrices with the same poles and their applications Polynomial and rational matrices: applications in dynamical systems theory , Springer, 2007
Reference 13
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- raw_fallback, observed 2026-08-12T14:15:11.426306Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8f003524-8641-47af-ae15-ba73a0f1343e · outbound
This paper cites An exact solution for a derivative nonlinear Schr \"o dinger equation.
The generalized Darboux matrices with the same poles and their applications An exact solution for a derivative nonlinear Schr \"o dinger equation
Reference 14
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- raw_fallback, observed 2026-08-12T14:15:11.410239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2cbeffe7-54f8-48a8-b373-039356bd5398 · outbound
This paper cites The Darboux transformation of the Schr \"o dinger equation with an energy-dependent potential.
The generalized Darboux matrices with the same poles and their applications The Darboux transformation of the Schr \"o dinger equation with an energy-dependent potential
Reference 15
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- raw_fallback, observed 2026-08-12T14:15:11.395470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e0a87cdc-0898-4082-b4bd-8baa3b4640cf · outbound
This paper cites Binary Darboux transformation for general matrix mKdV equations and reduced counterparts.
The generalized Darboux matrices with the same poles and their applications Binary Darboux transformation for general matrix mKdV equations and reduced counterparts
Reference 16
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- raw_fallback, observed 2026-08-12T14:15:11.380941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 69bccdcc-af84-4948-b507-2617209e6f92 · outbound
This paper cites The theory of matrices , Springer, 1933.
The generalized Darboux matrices with the same poles and their applications The theory of matrices , Springer, 1933
Reference 17
- Resolution
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- raw_fallback, observed 2026-08-12T14:15:11.367075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9ed53d36-6c1b-4b9e-865d-c28c60b06317 · outbound
This paper cites Darboux transformations and solitons , Springer, 1991.
The generalized Darboux matrices with the same poles and their applications Darboux transformations and solitons , Springer, 1991
Reference 18
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- raw_fallback, observed 2026-08-12T14:15:11.352944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e96180d2-f7e8-4fd8-bf0c-f6250aa3e918 · outbound
This paper cites Solitons on the rarefaction wave background via the Darboux transformation.
The generalized Darboux matrices with the same poles and their applications Solitons on the rarefaction wave background via the Darboux transformation
Reference 19
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- raw_fallback, observed 2026-08-12T14:15:11.339088Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fbfc9f5e-88be-410d-9f1c-fb1d1f32c928 · outbound
This paper cites A vectorial binary Darboux transformation for the first member of the negative part of the AKNS hierarchy.
The generalized Darboux matrices with the same poles and their applications A vectorial binary Darboux transformation for the first member of the negative part of the AKNS hierarchy
Reference 20
- Resolution
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- raw_fallback, observed 2026-08-12T14:15:11.326137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6cd0670e-f9be-4ff7-b742-190134a67806 · outbound
This paper cites Darboux transformation and explicit solutions for two integrable equations J.
The generalized Darboux matrices with the same poles and their applications Darboux transformation and explicit solutions for two integrable equations J
Reference 21
- Resolution
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- raw_fallback, observed 2026-08-12T14:15:11.312081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0a98c0bc-b4ca-4992-addc-497117e36c1d · outbound
This paper cites Darboux transformations for effective mass Schr \"o dinger equations with energy-dependent potentials.
The generalized Darboux matrices with the same poles and their applications Darboux transformations for effective mass Schr \"o dinger equations with energy-dependent potentials
Reference 22
- Resolution
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- raw_fallback, observed 2026-08-12T14:15:11.297462Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8887a2a3-aaf4-42f7-b11d-32ac3c034626 · outbound
This paper cites Darboux and binary Darboux transformations for discrete integrable systems I.
The generalized Darboux matrices with the same poles and their applications Darboux and binary Darboux transformations for discrete integrable systems I
Reference 23
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- raw_fallback, observed 2026-08-12T14:15:11.283232Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e9bc4562-1e1d-44be-b8ba-6d68aba0e7f8 · outbound
This paper cites Darboux and binary Darboux transformations for discrete integrable systems.
The generalized Darboux matrices with the same poles and their applications Darboux and binary Darboux transformations for discrete integrable systems
Reference 24
- Resolution
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- raw_fallback, observed 2026-08-12T14:15:11.269339Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 96878bd8-3e02-4ce6-9625-f1f4e486f686 · outbound
This paper cites Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation.
The generalized Darboux matrices with the same poles and their applications Darboux transformation and multi-soliton solutions of the Camassa-Holm equation and modified Camassa-Holm equation
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:15:11.252574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d53cbf4e-3153-4d10-937b-21e4fa955d7b · outbound
This paper cites Binary Darboux transformation and new soliton solutions of the focusing nonlocal nonlinear Schr \"o dinger equation.
The generalized Darboux matrices with the same poles and their applications Binary Darboux transformation and new soliton solutions of the focusing nonlocal nonlinear Schr \"o dinger equation
Reference 26
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- raw_fallback, observed 2026-08-12T14:15:11.235749Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 51096eeb-a15a-4c67-93fb-2f72b3e1cece · outbound
This paper cites The Darboux transformation of the derivative nonlinear Schr \"o dinger equation.
The generalized Darboux matrices with the same poles and their applications The Darboux transformation of the derivative nonlinear Schr \"o dinger equation
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:15:11.220832Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 91228805-202b-40f8-accd-6c13f58bd9c0 · outbound
This paper cites Rogue waves in the nonlocal PT-symmetric nonlinear Schr \"o dinger equation.
The generalized Darboux matrices with the same poles and their applications Rogue waves in the nonlocal PT-symmetric nonlinear Schr \"o dinger equation
Reference 28
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- raw_fallback, observed 2026-08-12T14:15:11.205952Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation dc24c744-74b9-4ec6-bc67-f946429cd31c · outbound
This paper cites Darboux transformations of lower degree for two-dimensional C^ (1) _l and D^ (2) _ l+1 Toda equations.
The generalized Darboux matrices with the same poles and their applications Darboux transformations of lower degree for two-dimensional C^ (1) _l and D^ (2) _ l+1 Toda equations
Reference 29
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- raw_fallback, observed 2026-08-12T14:15:11.191724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6eae1fb5-3cc4-464b-b414-79ce03c7d73e · outbound
This paper cites On the integrability of classical spinor models in two-dimensional space-time.
The generalized Darboux matrices with the same poles and their applications On the integrability of classical spinor models in two-dimensional space-time
Reference 30
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- raw_fallback, observed 2026-08-12T14:15:11.177804Z
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
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