Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system (Q2239831)

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English	Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system	scientific article

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title

Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system (English)

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Qualitative Theory of Dynamical Systems

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publication date

5 November 2021

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zbMATH Keywords

generalized three-coupled Korteweg-de Vries system

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Hirota method

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symbolic computation

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hetero-Bäcklund transformation

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bilinear forms

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solitons

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s12346-021-00512-7

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cites work

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N = 2 Supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt Equations

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Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics

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Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves

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GrammianN-soliton solutions of a coupled KdV system

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Symmetry Reductions, Group‐Invariant Solutions, and Conservation Laws of a (2+1)‐Dimensional Nonlinear Schrödinger Equation in a Heisenberg Ferromagnetic Spin Chain

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Comment on ``Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized \((2+1)\)-dimensional dispersive long-wave system''

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Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma

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Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows

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Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics

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Generalized Darboux Transformations, Rogue Waves, and Modulation Instability for the Coherently Coupled Nonlinear Schrödinger Equations in Nonlinear Optics

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Bilinear transformation method

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Identifiers

zbMATH Open document ID

1477.35218

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DOI

10.1007/s12346-021-00512-7

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2239831