Paper Citation Record · LEDGER

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

As of 22 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2606.10396.

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

pith.paper-citation-record.v1
2606.10396 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T11:15:59.633783Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:17:04.158745Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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unresolved43
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External citation measurements

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Outbound references

Observation 3dbe2ba1-5243-447a-93b7-26bfea3edd9f · outbound

This paper cites Bell, Exponential polynomials, Ann.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Bell, Exponential polynomials, Ann

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Unavailable: canonical work link unavailable.

Observation 24c5d851-b576-4857-b6a7-0623c5416476 · outbound

This paper cites Benilov, S.P.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Benilov, S.P

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 0cdbe8a3-4209-4931-92f3-2a42bdb143b6 · outbound

This paper cites an unresolved cited work.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 32a50ab2-ea5b-4b0f-aa5a-8577a1f42a0e · outbound

This paper cites an unresolved cited work.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 2dae374b-7a20-4824-98ab-26ea720fc72a · outbound

This paper cites Dobrokhotov, I.M.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Dobrokhotov, I.M

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 835e56a2-d6e1-486b-8a1d-9940dcdc70ae · outbound

This paper cites Dubrovsky, B.G.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Dubrovsky, B.G

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation c3fcd677-9048-4422-9678-01496661aa6a · outbound

This paper cites Gaididei, S.F.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Gaididei, S.F

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 972a6572-a525-4a4c-af7b-895ead3008e0 · outbound

This paper cites an unresolved cited work.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 155ee4f9-836b-4d65-9abe-f2bf13a54e9e · outbound

This paper cites Gilson, F.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Gilson, F

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 4822361e-028d-4365-a0dd-fa0b1be39f26 · outbound

This paper cites Herrera, Warning on multi-soliton solutions to Zakharov equations, J.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Herrera, Warning on multi-soliton solutions to Zakharov equations, J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 2dd23ded-d612-405f-9cf7-45e97c7a25f5 · outbound

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

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Hietarinta, A search for bilinear equations passing Hirota’s three-soliton condition

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation b038107b-8619-45d3-acf1-dcad89473873 · outbound

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

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Hietarinta, A search of bilinear equations passing Hirota’s three-soliton condition: II

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 1fecb386-280d-4c7b-afbb-83c57c93b37a · outbound

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

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation c0b106bc-a46a-4030-8293-ec13dd6de849 · outbound

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

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation ed8a0c87-e4d9-40ca-9aa9-4eaa0fc62792 · outbound

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

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Hirota, Exact solution of the Korteweg-de Vries equation for multiple collisions of soli- tons, Phys

Reference 15

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Observation 4c64fee0-d2ef-4a34-b43d-64a230752273 · outbound

This paper cites Hirota, Exact envelope-soliton solutions of a nonlinear wave equation J.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Hirota, Exact envelope-soliton solutions of a nonlinear wave equation J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation da374f09-7119-41eb-8839-e7012d7094c5 · outbound

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

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Hirota, A new form of B¨ acklund transformations and its relation to the inverse scattering problem, Prog

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 9625a85f-5e26-4ebb-a4f9-2dc0a9a8d365 · outbound

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

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Hirota, Direct methods in soliton theory, in Solitons, eds

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 15331782-47f9-4daa-a73f-25abf07a1ada · outbound

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

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Hirota, The Direct Method in Soliton Theory, Camb

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 70172b1e-0562-4084-9b1f-54c9fe198dae · outbound

This paper cites Hoang, J.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Hoang, J

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-03T07:57:45.465042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f4101fd9-fc87-41a3-8bbb-d3e7a6b91f26 · outbound

This paper cites King, Hilbert Transforms, Camb.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type King, Hilbert Transforms, Camb

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 15c520d5-25c3-4201-b52f-6f94f21ef0d1 · outbound

This paper cites Konopelchenko, V.G.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Konopelchenko, V.G

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation fdf268f8-d541-4d40-b590-175adb10012a · outbound

This paper cites Konopelchenko, C.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Konopelchenko, C

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 8237fbbc-61f0-4505-b61f-0fee716f0c07 · outbound

This paper cites Lambert, I.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Lambert, I

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation e469dacf-db36-4b7d-a9c9-af346449c194 · outbound

This paper cites an unresolved cited work.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation a53255c2-5cd4-4b10-906c-e1d3c0214c66 · outbound

This paper cites an unresolved cited work.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 7738263b-bc45-400f-b8e9-731738c58cda · outbound

This paper cites Lou, Localized excitations of the (2+1)-dimensional sine-Gordon system, J.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Lou, Localized excitations of the (2+1)-dimensional sine-Gordon system, J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 284f1d3c-bed4-488f-ae43-faec772b891b · outbound

This paper cites Matsuno, Exact multi-soliton solution of the Benjamin-Ono equation, J.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Matsuno, Exact multi-soliton solution of the Benjamin-Ono equation, J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation cfe6582f-0330-414a-961b-0ff09a355430 · outbound

This paper cites Matsuno, Bilinear transformation method, Academic Press, Orlando, 1984.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Matsuno, Bilinear transformation method, Academic Press, Orlando, 1984

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 5685cfef-fdef-4771-8805-75e49c6987a2 · outbound

This paper cites Matsuno, N-soliton solutions for the sine-Hilbert equation, Phys.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Matsuno, N-soliton solutions for the sine-Hilbert equation, Phys

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 1fb08f18-2ee3-4a88-9407-647179fd707a · outbound

This paper cites Matsuno, Linearization of novel nonlinear diffusion equations with the Hilbert kernel and their exact solutions, J.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Matsuno, Linearization of novel nonlinear diffusion equations with the Hilbert kernel and their exact solutions, J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation d4239b4d-f408-47fb-acda-0777b1b554a5 · outbound

This paper cites Matsuno, Multiperiodic and multisoliton solutions of a nonlocal nonlinear Schr¨ odinger equation for envelope waves, Phys.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Matsuno, Multiperiodic and multisoliton solutions of a nonlocal nonlinear Schr¨ odinger equation for envelope waves, Phys

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 1ad83314-2c19-4deb-b78f-da395e0c4788 · outbound

This paper cites Matsuno, Multiphase solutions and their reductions for a nonlocal nonlinear Schr¨ odinger equation with focusing nonlinearity, Stud.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Matsuno, Multiphase solutions and their reductions for a nonlocal nonlinear Schr¨ odinger equation with focusing nonlinearity, Stud

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 9d490b0c-92ee-4fe1-9077-4b2f8fc7d831 · outbound

This paper cites Nakamura, N-periodic wave and N-soliton solutions of the modified Benjamin-Ono equa- tion, J.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Nakamura, N-periodic wave and N-soliton solutions of the modified Benjamin-Ono equa- tion, J

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation cba82df2-24e0-48ef-8cce-201b9e831912 · outbound

This paper cites Nimmo, A class of solitons of the Konopelchenko-Rogers equation, Phys.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Nimmo, A class of solitons of the Konopelchenko-Rogers equation, Phys

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 593847fb-e3d0-4005-a872-e3d887f6f20f · outbound

This paper cites Nimmo, Darboux transformations in (2+1)-dimensions, in Applications of Analyt- ical and Geometric Methods to Nonlinear Differential Equations, Proc.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Nimmo, Darboux transformations in (2+1)-dimensions, in Applications of Analyt- ical and Geometric Methods to Nonlinear Differential Equations, Proc

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 81f51011-b68f-48fd-af9b-b795a5868a32 · outbound

This paper cites Satsuma, Y.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Satsuma, Y

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 9f39450a-bb76-4419-8b99-88654545f110 · outbound

This paper cites Schief, On localized solitonic solutions of a (2+1)-dimensional sine-Gordon system, J.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Schief, On localized solitonic solutions of a (2+1)-dimensional sine-Gordon system, J

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation c4d83840-67c2-4660-aa9e-9778e1d9e264 · outbound

This paper cites an unresolved cited work.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 49f2a0f6-5a15-44e8-9bf8-f6644b8d4524 · outbound

This paper cites Yan, Y.J.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Yan, Y.J

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 655ff6ce-2cda-403f-af12-6516fe817eb0 · outbound

This paper cites Zakharov, Collapse of Langmuir waves, Sov.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Zakharov, Collapse of Langmuir waves, Sov

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation 2d141272-0a74-4435-9e14-0ed99e6d2c75 · outbound

This paper cites Zakharov, The inverse scattering method, in Solitons, eds.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Zakharov, The inverse scattering method, in Solitons, eds

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation fca96656-fbd5-412e-8d18-375eefb01194 · outbound

This paper cites Zhang, J.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Zhang, J

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Observation de03db21-4d40-4e4b-89ba-6fb5d62cb9c1 · outbound

This paper cites Zhao, D.J.

Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schr\"odinger type and Benjamin-Ono type Zhao, D.J

Reference 44

Resolution: unresolved; no resolver link, observed 2026-06-27T11:15:59.633783Z

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Pith citing papers

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

Integrability and transformations in the bilinear method: An introduction cites this paper.

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

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-02T11:17:04.158745Z

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