New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model (Q2517529)

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English	New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model	scientific article

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New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model (English)

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26 August 2015

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zbMATH Keywords

(2+1)-dimensional Sawada-Kotera model

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gauge transformation

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bilinear Bäcklund transformation

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multisoliton solutions

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symbolic computation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11071-013-1118-y

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cites work

Exact solutions and Painlevé analysis of a new (2+1)-dimensional generalized KdV equation

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

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Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model

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Systematic construction of infinitely many conservation laws for certain nonlinear evolution equations in mathematical physics

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Differential form method for finding symmetries of a \((2+1)\)-dimensional Camassa-Holm system based on its Lax pair

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Bäcklund transformations and their applications

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Various Methods for Constructing Auto-Bäcklund Transformations for a Generalized Variable-Coefficient Korteweg-de Vries Model from Plasmas and Fluid Dynamics

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Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws

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Soliton solutions and a Bäcklund transformation for a generalized nonlinear Schrödinger equation with variable coefficients from optical fiber communications

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Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications

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Bell-polynomial manipulations on the Bäcklund transformations and Lax pairs for some soliton equations with one Tau-function

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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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Soliton behavior for a generalized mixed nonlinear Schrödinger model with <i>N</i>-fold Darboux transformation

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Soliton solutions via auxiliary function method for a coherently-coupled model in the optical fiber communications

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Initial/boundary value problems and Darboux-Levi-type transformations associated with a \(2+1\)-dimensional eigenfunction equation

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The construction of exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via \(\overline \partial\)-dressing method

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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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Painleve property and pseudopotentials for nonlinear evolution equations

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Bäcklund transformations, cnoidal wave and travelling wave solutions of the SK and KK equations

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The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations

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Exact solutions for some nonlinear evolution equations which describe pseudo-spherical surfaces

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Identifiers

zbMATH Open document ID

1319.35222

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DOI

10.1007/s11071-013-1118-y

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2517529