Generalized (2 + 1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms (Q437359)

scientific article; zbMATH DE number 6057939

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English	Generalized (2 + 1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms	scientific article; zbMATH DE number 6057939

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instance of

scholarly article

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title

Generalized (2 + 1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms (English)

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17 July 2012

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zbMATH Keywords

generalized (2+1)-dimensional Gardner model with \(t\) dependence

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bilinear method

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Lax representation

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shock-wave- and/or solitary-wave-like solutions

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inelastic compression/amplification

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symbolic computation

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describes a project that uses

MACSYMA

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s11071-011-0145-9

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cites work

Wave propagation in nonlinear lattice. I

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Wave group dynamics in weakly nonlinear long-wave models

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On interfacial solitary waves over slowly varying topography

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General \(N\)th-order differential spectral problem: general structure of the integrable equations, nonuniqueness of recursion operator and gauge invariance

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Inverse spectral transform for the (2 + 1)-dimensional Gardner equation

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Decomposition of the \((2+1)\)-dimensional Gardner equation and its quasi-periodic solutions

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New exact solutions of \((2+1)\)-dimensional Gardner equation via the new sine-Gordon equation expansion method

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Symbolic-computation study of integrable properties for the (2 + 1)-dimensional Gardner equation with the two-singular manifold method

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A second-order theory for solitary waves in shallow fluids

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Lax pair, Bäcklund transformation and \(N\)-soliton-like solution for a variable-coefficient Gardner equation from nonlinear lattice, plasma physics and ocean dynamics with symbolic computation

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Integrability study on a generalized (2+1)-dimensional variable-coefficient Gardner model with symbolic computation

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1-soliton solution of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and time-dependent coefficients

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Dark optical solitons in power law media with time-dependent coefficients

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Analytical study of the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose-Einstein condensates

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Integrability aspects with optical solitons of a generalized variable-coefficient N-coupled higher order nonlinear Schrödinger system from inhomogeneous optical fibers

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Diversity of exact solutions to a restricted Boiti-Leon-Pempinelli dispersive long-wave system

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MULTI-SOLITON SOLUTIONS AND THEIR INTERACTIONS FOR THE (2+1)-DIMENSIONAL SAWADA-KOTERA MODEL WITH TRUNCATED PAINLEVÉ EXPANSION, HIROTA BILINEAR METHOD AND SYMBOLIC COMPUTATION

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Nonlinear evolution equations generated from the Bäcklund transformation for the Toda lattice.

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Bäcklund transformations and their applications

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<i>N</i>-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient fifth-order Korteweg–de Vries equation

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Identifiers

zbMATH Open document ID

1247.35107

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Mathematics Subject Classification ID

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10.1007/S11071-011-0145-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:437359