Paper Citation Record · LEDGER

Integrability and transformations in the bilinear method: An introduction

As of 11 August 2026, this Paper Citation Record lists 77 of 77 outbound references and 1 inbound Pith citation observation for arXiv:2606.16205.

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

pith.paper-citation-record.v1
2606.16205 v2

Coverage vector

measured 77 of 77 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T11:17:06.821542Z

measured 78 of 78 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T17:11:19.914339Z

measured 0 of 1 external citation measurements

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Reference resolution

77 of 77 outbound references displayed

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Outbound references

Observation 349b39a2-7233-4e8f-a409-2027892405e0 · outbound

This paper cites Ablowitz, J.

Integrability and transformations in the bilinear method: An introduction Ablowitz, J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T11:16:58.050820Z

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Observation 2ede8d7e-2013-4911-8112-81e40bc8cabf · outbound

This paper cites Ablowitz, H.

Integrability and transformations in the bilinear method: An introduction Ablowitz, H

Reference 2

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Observation 33125371-0ebb-4a80-b25f-3b5e4e21c24d · outbound

This paper cites an unresolved cited work.

Integrability and transformations in the bilinear method: An introduction Unresolved cited work

Reference 3

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Observation cef0d7fe-5147-4ce3-99db-2276fa2a614b · outbound

This paper cites Bianchi, Vorlesungen ¨ uber Differentialgeometrie, Leipzig: B.G.

Integrability and transformations in the bilinear method: An introduction Bianchi, Vorlesungen ¨ uber Differentialgeometrie, Leipzig: B.G

Reference 4

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Observation 71d45fba-e8aa-418a-ae6a-a7422ca9f5a7 · outbound

This paper cites Chen, Introduction to Soliton Theory, Science Press, Beijing, 2006.

Integrability and transformations in the bilinear method: An introduction Chen, Introduction to Soliton Theory, Science Press, Beijing, 2006

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T11:16:58.586641Z

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Observation 18bf90e8-5986-41ad-9d36-32a9e4f55cd2 · outbound

This paper cites Chen, D.J.

Integrability and transformations in the bilinear method: An introduction Chen, D.J

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T11:16:58.729046Z

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Observation bb2724a6-388d-4074-a7ad-a366c52e852e · outbound

This paper cites Chen, General derivation of B¨ acklund transformation from inverse scattering prob- lems, Phys.

Integrability and transformations in the bilinear method: An introduction Chen, General derivation of B¨ acklund transformation from inverse scattering prob- lems, Phys

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T11:16:58.854045Z

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Observation 5ef11661-a371-48b0-aedc-6c7765ebbc04 · outbound

This paper cites Chen, J.B.

Integrability and transformations in the bilinear method: An introduction Chen, J.B

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T11:16:59.009992Z

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Observation a35cbf35-b920-4de7-ac7b-8e8414d9f278 · outbound

This paper cites an unresolved cited work.

Integrability and transformations in the bilinear method: An introduction Unresolved cited work

Reference 9

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Observation 60d526c6-7db6-4e41-8abd-ab1c1779efd7 · outbound

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Integrability and transformations in the bilinear method: An introduction Unresolved cited work

Reference 10

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Observation 158b9730-1b15-4c46-a9bc-6de075b8e34b · outbound

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Integrability and transformations in the bilinear method: An introduction Unresolved cited work

Reference 11

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Observation 22310702-3da5-4122-aa66-b90313391334 · outbound

This paper cites Deng, D.Y.

Integrability and transformations in the bilinear method: An introduction Deng, D.Y

Reference 12

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Observation 33a4d9c8-5cac-4658-ad45-81c9fca15d6e · outbound

This paper cites Gardner, J.M.

Integrability and transformations in the bilinear method: An introduction Gardner, J.M

Reference 13

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Observation 86c06652-7652-497f-b002-cde1fcdcc07c · outbound

This paper cites Gel’fand, B.M.

Integrability and transformations in the bilinear method: An introduction Gel’fand, B.M

Reference 14

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Observation 2f4bde46-9d52-4da7-ab9e-b0a0f15262a5 · outbound

This paper cites Gilson, F.

Integrability and transformations in the bilinear method: An introduction Gilson, F

Reference 15

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Observation 3611fa31-3e93-4a6f-8454-75eba2a8adc3 · outbound

This paper cites Hietarinta, A search for bilinear equations passing Hirota’s three-soliton condition.

Integrability and transformations in the bilinear method: An introduction Hietarinta, A search for bilinear equations passing Hirota’s three-soliton condition

Reference 16

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Observation 6685c66a-322b-4dd9-a46f-07d5a3e757e5 · outbound

This paper cites Hietarinta, A search of bilinear equations passing Hirota’s three-soliton condition: II.

Integrability and transformations in the bilinear method: An introduction Hietarinta, A search of bilinear equations passing Hirota’s three-soliton condition: II

Reference 17

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Observation afe8d087-e0e4-4954-af1e-733c57060503 · outbound

This paper cites Hietarinta, A search of bilinear equations passing Hirota’s three-soliton condition: III.

Integrability and transformations in the bilinear method: An introduction Hietarinta, A search of bilinear equations passing Hirota’s three-soliton condition: III

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:00.507459Z

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Observation 2464c7d7-221b-49db-9b63-c45fb1851f14 · outbound

This paper cites Hietarinta, A search of bilinear equations passing Hirota’s three-soliton condition: IV.

Integrability and transformations in the bilinear method: An introduction Hietarinta, A search of bilinear equations passing Hirota’s three-soliton condition: IV

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:00.656899Z

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Observation c2be787e-04c3-46bb-a8ab-5f1024341489 · outbound

This paper cites Hietarinta, Hirota’s bilinear method and partial integrability, In: Partially Intergrable Evolution Equations in Physics, eds.

Integrability and transformations in the bilinear method: An introduction Hietarinta, Hirota’s bilinear method and partial integrability, In: Partially Intergrable Evolution Equations in Physics, eds

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:00.836203Z

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Observation 26d89d86-8d84-4575-9757-9e65382b5982 · outbound

This paper cites Hietarinta, Scattering of solitons and dromions, In: Scattering: Scattering and In- verse Scattering in Pure and Applied Science, eds.

Integrability and transformations in the bilinear method: An introduction Hietarinta, Scattering of solitons and dromions, In: Scattering: Scattering and In- verse Scattering in Pure and Applied Science, eds

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:01.078632Z

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Observation 8e326f02-48c2-4a91-9421-709025b17296 · outbound

This paper cites Hietarinta, Hirota’s bilinear method and its connection with integrability, In: Inte- grablity, ed.

Integrability and transformations in the bilinear method: An introduction Hietarinta, Hirota’s bilinear method and its connection with integrability, In: Inte- grablity, ed

Reference 22

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Observation 183e8750-6eae-4eb3-8bd6-cc3b4cb7fff2 · outbound

This paper cites Hietarinta, N.

Integrability and transformations in the bilinear method: An introduction Hietarinta, N

Reference 23

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Observation 5606ab8e-d31f-483c-b55a-d910ffd6b58c · outbound

This paper cites Hietarinta, D.J.

Integrability and transformations in the bilinear method: An introduction Hietarinta, D.J

Reference 24

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Observation 29ef5f0d-8d1a-4973-b066-9a43cb859694 · outbound

This paper cites Hirota, Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons, Phys.

Integrability and transformations in the bilinear method: An introduction Hirota, Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons, Phys

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Observation ad34d15a-54ba-4fac-9e2b-22a33f2f14c1 · outbound

This paper cites Hirota, Exact three-soliton solution of the two-dimensional sine-Gordon equation, J.

Integrability and transformations in the bilinear method: An introduction Hirota, Exact three-soliton solution of the two-dimensional sine-Gordon equation, J

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Observation 0ef40da1-21f1-469b-b2ca-8669b4156db2 · outbound

This paper cites Hirota, A new form of B¨ acklund transformations and its relation to the inverse scat- tering problem, Prog.

Integrability and transformations in the bilinear method: An introduction Hirota, A new form of B¨ acklund transformations and its relation to the inverse scat- tering problem, Prog

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Observation 33d418f6-a4ab-4c8c-a224-9216d3777d63 · outbound

This paper cites Hirota, Nonlinear partial difference equations.

Integrability and transformations in the bilinear method: An introduction Hirota, Nonlinear partial difference equations

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Observation e1b50658-43c4-4764-a903-73d0a615bf1c · outbound

This paper cites Hirota, Direct methods in soliton theory, In: Solitons, eds.

Integrability and transformations in the bilinear method: An introduction Hirota, Direct methods in soliton theory, In: Solitons, eds

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Observation fbd2a12b-4b90-4da6-b2bb-73a76914ef4a · outbound

This paper cites Hirota, J.

Integrability and transformations in the bilinear method: An introduction Hirota, J

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Observation b2d45d02-80b8-477d-9ebe-96465a9ad4d4 · outbound

This paper cites Hirota, The Direct Method in Soliton Theory, Camb.

Integrability and transformations in the bilinear method: An introduction Hirota, The Direct Method in Soliton Theory, Camb

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Observation 0a55571c-a240-403b-8735-74035a815d80 · outbound

This paper cites Hirota, History of the bilinear method, 2004, preprint.

Integrability and transformations in the bilinear method: An introduction Hirota, History of the bilinear method, 2004, preprint

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Observation 69049cf9-bc8c-45d3-b6cf-71626711d484 · outbound

This paper cites Solutions to the KP hierarchy with an elliptic background.

Integrability and transformations in the bilinear method: An introduction Solutions to the KP hierarchy with an elliptic background

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Observation 7e217300-69af-4bc9-a838-9174bc2eeb35 · outbound

This paper cites Kay, H.E.

Integrability and transformations in the bilinear method: An introduction Kay, H.E

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Observation 07073f11-f584-4a89-83bc-040ae4718956 · outbound

This paper cites Kodama, KP solitons in shallow water, J.

Integrability and transformations in the bilinear method: An introduction Kodama, KP solitons in shallow water, J

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Observation fac3c5c3-6cdd-43c1-95d2-65aa7bf12979 · outbound

This paper cites Kodama, L.

Integrability and transformations in the bilinear method: An introduction Kodama, L

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Observation a77af812-928f-4fad-92fe-e8cfaddaf65a · outbound

This paper cites Kodama, L.

Integrability and transformations in the bilinear method: An introduction Kodama, L

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Observation aad543af-4fed-4dbd-a769-cadca0920117 · outbound

This paper cites Kodama, Private communication, 2023.

Integrability and transformations in the bilinear method: An introduction Kodama, Private communication, 2023

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Observation c4e4b8d5-7798-4242-9d51-a6e50e5867e6 · outbound

This paper cites Konno, H.

Integrability and transformations in the bilinear method: An introduction Konno, H

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Observation 8842115f-bee9-4885-a693-436995c65995 · outbound

This paper cites Konopelchenko, Elementary B¨ acklund transformations, nonlinear superposition principle and solutions of the integrable equations, Phys.

Integrability and transformations in the bilinear method: An introduction Konopelchenko, Elementary B¨ acklund transformations, nonlinear superposition principle and solutions of the integrable equations, Phys

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Observation d948395e-3d81-4e2f-9554-c1f95d535a1d · outbound

This paper cites Lamb, JR., Analytical descriptions of ultrashort optical pulse propagation in a res- onant medium, Rev.

Integrability and transformations in the bilinear method: An introduction Lamb, JR., Analytical descriptions of ultrashort optical pulse propagation in a res- onant medium, Rev

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Observation 634f8ba7-b022-457d-992e-f1f2ea1ee3ee · outbound

This paper cites Lamb, JR., B¨ acklund transformations for certain nonlinear evolution equations, J.

Integrability and transformations in the bilinear method: An introduction Lamb, JR., B¨ acklund transformations for certain nonlinear evolution equations, J

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Observation 9e76b76b-2e47-41e6-b3e7-3102b4e26e10 · outbound

This paper cites Lambert, I.

Integrability and transformations in the bilinear method: An introduction Lambert, I

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Observation c00b7ac8-456a-4c4d-92af-ba30c6f1c646 · outbound

This paper cites Lambert, J.

Integrability and transformations in the bilinear method: An introduction Lambert, J

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Observation 59be4006-ca73-4e15-a349-e4f391961b55 · outbound

This paper cites Lepowsky, R.L.

Integrability and transformations in the bilinear method: An introduction Lepowsky, R.L

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Observation 64c8def6-3ef5-4295-9b2e-5a977cbcfbcf · outbound

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Integrability and transformations in the bilinear method: An introduction Unresolved cited work

Reference 46

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Observation 8cdde3a1-af15-495b-ba5d-e1146c34b249 · outbound

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Integrability and transformations in the bilinear method: An introduction Unresolved cited work

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Observation f3aefdf4-b4cb-462e-8b72-4ede4e15aa04 · outbound

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Integrability and transformations in the bilinear method: An introduction Unresolved cited work

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Observation de683aa0-ec1f-4e12-ae6e-f94bd76ae642 · outbound

This paper cites Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type.

Integrability and transformations in the bilinear method: An introduction Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type

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Integrability and transformations in the bilinear method: An introduction Marchenko, The construction of the potential energy from the phases of the scattered waves, Dokl

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Integrability and transformations in the bilinear method: An introduction Matveev, Positon-positon and soliton-positon collisions: KdV case, Phys

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Observation 47ae1b58-2e23-4b7c-a281-01c3d2aba56a · outbound

This paper cites Matveev, M.A.

Integrability and transformations in the bilinear method: An introduction Matveev, M.A

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Integrability and transformations in the bilinear method: An introduction Miles, Resonantly interacting solitary waves, J

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Observation f31ea160-7e09-47ff-bae9-09aae8147daa · outbound

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Integrability and transformations in the bilinear method: An introduction Unresolved cited work

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Observation 7ad230b3-9dba-42f4-8517-edbcb8c9d9ac · outbound

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Integrability and transformations in the bilinear method: An introduction Unresolved cited work

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Integrability and transformations in the bilinear method: An introduction Nakayashiki, Vertex operators of the KP hierarchy and singular algebraic curves, Lett

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This paper cites Degenerate Addition Formulas of the KP Hierarchy and Applications.

Integrability and transformations in the bilinear method: An introduction Degenerate Addition Formulas of the KP Hierarchy and Applications

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Observation dcb000ee-b107-4026-a836-acd4166684d8 · outbound

This paper cites Nijhoff, H.W.

Integrability and transformations in the bilinear method: An introduction Nijhoff, H.W

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Observation 8f717590-78fe-4950-8331-ddc7a4ee0f80 · outbound

This paper cites Nijhoff, H.W.

Integrability and transformations in the bilinear method: An introduction Nijhoff, H.W

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Observation dabe39b0-59fd-492f-9f40-e0956ccf755d · outbound

This paper cites Nimmo, N.C.

Integrability and transformations in the bilinear method: An introduction Nimmo, N.C

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Observation 816f81d9-79e3-4bd0-8f03-6010448b5f09 · outbound

This paper cites an unresolved cited work.

Integrability and transformations in the bilinear method: An introduction Unresolved cited work

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Observation 4b9c1fdb-3ca0-4c2d-b4e9-83b425a51382 · outbound

This paper cites Rogers, W.K.

Integrability and transformations in the bilinear method: An introduction Rogers, W.K

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Observation 79fd2ba8-54f4-4a75-a0e5-db0f28560e51 · outbound

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Integrability and transformations in the bilinear method: An introduction Sato, Soliton equations as dynamical systems on an infinite dimensional Grassmann manifolds, RIMS Kokyuroku Kyoto Univ., 439 (1981) 30-46

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Observation 294fac61-2ee3-4d17-a9e3-f17b7ba53d1b · outbound

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Integrability and transformations in the bilinear method: An introduction Satsuma, N-soliton solution of the two-dimeiton Korteweg-de Vries equation, J

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Observation a6e368f8-bf50-467b-9a08-7dec36578d5d · outbound

This paper cites Sirianunpiboon, S.D.

Integrability and transformations in the bilinear method: An introduction Sirianunpiboon, S.D

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Observation b36aca90-e9ad-4664-a695-f723f7a67336 · outbound

This paper cites Takahashi, On the birth of Hirota’s direct method, report on the 3rd China-Japan Joint Workshop on Integrable Systems, Xi’an, China, 2016.

Integrability and transformations in the bilinear method: An introduction Takahashi, On the birth of Hirota’s direct method, report on the 3rd China-Japan Joint Workshop on Integrable Systems, Xi’an, China, 2016

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Observation 4a224a60-0e62-4394-abe3-84a617e66e03 · outbound

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Integrability and transformations in the bilinear method: An introduction Wadati, B¨ acklund transformation for solutions of the modified Korteweg-de Vries equation, J

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Observation 0c853a07-4993-4b17-9c79-4c07102a2559 · outbound

This paper cites Wadati, K.

Integrability and transformations in the bilinear method: An introduction Wadati, K

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Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:06.001965Z

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Observation 7dc9f7ed-f2e6-4f90-a563-5dc80cd58973 · outbound

This paper cites Wadati, H.

Integrability and transformations in the bilinear method: An introduction Wadati, H

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Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:06.075990Z

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Observation 4229d379-6bd3-484a-99b7-88f457c19419 · outbound

This paper cites Wadati, M.

Integrability and transformations in the bilinear method: An introduction Wadati, M

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Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:06.164010Z

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Observation e0fd6a23-1c25-4fcc-98a0-2ea3622b7fcc · outbound

This paper cites Wahlquist, F.B.

Integrability and transformations in the bilinear method: An introduction Wahlquist, F.B

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Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:06.245040Z

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Observation 796a64ef-de29-4e45-b2d6-3d43d27cb2eb · outbound

This paper cites an unresolved cited work.

Integrability and transformations in the bilinear method: An introduction Unresolved cited work

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:06.318410Z

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Observation 7d6cc181-6ed1-4c7f-8706-8c130bfdf190 · outbound

This paper cites Zakharov, A.B.

Integrability and transformations in the bilinear method: An introduction Zakharov, A.B

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Observation 38312187-436e-4d2f-bced-eceb0bb63354 · outbound

This paper cites Zhang, Notes on solutions in Wronskian form to soliton equations: KdV-type, arXiv: nlin.SI/0603008.

Integrability and transformations in the bilinear method: An introduction Zhang, Notes on solutions in Wronskian form to soliton equations: KdV-type, arXiv: nlin.SI/0603008

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Observation 8e971832-dffd-4cc5-99a4-7526f4bc6571 · outbound

This paper cites Zhang, S.L.

Integrability and transformations in the bilinear method: An introduction Zhang, S.L

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Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:06.763313Z

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Observation 380c4fc7-4bcc-445d-b4b0-1c642e8946e0 · outbound

This paper cites Zhang, J.

Integrability and transformations in the bilinear method: An introduction Zhang, J

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Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:06.821542Z

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Pith citing papers

Observation d60e2381-1937-41fa-b35a-3ea4a6ad9090 · inbound

Asymptotic Equivalence Between Quasi-Grammian and Quasi-Wronskian $N$-Soliton Solutions of the Anti-Self-Dual Yang-Mills Equation cites this paper.

Asymptotic Equivalence Between Quasi-Grammian and Quasi-Wronskian $N$-Soliton Solutions of the Anti-Self-Dual Yang-Mills Equation Integrability and transformations in the bilinear method: An introduction

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