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Integrability with symbolic computation on the Bogoyavlensky-Konoplechenko model: Bell-polynomial manipulation, bilinear representation, and Wronskian solution - MaRDI portal

Integrability with symbolic computation on the Bogoyavlensky-Konoplechenko model: Bell-polynomial manipulation, bilinear representation, and Wronskian solution (Q2345736)

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English	Integrability with symbolic computation on the Bogoyavlensky-Konoplechenko model: Bell-polynomial manipulation, bilinear representation, and Wronskian solution	scientific article

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scholarly article

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Integrability with symbolic computation on the Bogoyavlensky-Konoplechenko model: Bell-polynomial manipulation, bilinear representation, and Wronskian solution (English)

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Nonlinear Dynamics

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publication date

20 May 2015

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zbMATH Keywords

Bogoyavlensky-Konoplechenko model

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Bell-polynomial manipulation

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\(N\)-soliton solution

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bilinear Bäcklund transformation

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Wronskian solution

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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/s11071-014-1279-3

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On a direct procedure for the disclosure of Lax pairs and Bäcklund transformations

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

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

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Linear superposition principle applying to Hirota bilinear equations

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Partial differential equations possessing Frobenius integrable decompositions

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

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

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Painlevé-integrability and explicit solutions of the general two-coupled nonlinear Schrödinger system in the optical fiber communications

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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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The inverse scattering transform: tools for the nonlinear Fourier analysis and filtering of ocean surface waves.

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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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Constraints of the 2+1 dimensional integrable soliton systems

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Modified Kadomtsev-Petviashvili (MKP) equation and electromagnetic soliton

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Explicit solutions for some (2+1)-dimensional nonlinear evolution equations

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Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation

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Exact solutions of the Bogoyavlensky-Konopelchenko equation

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New positon, negaton and complexiton solutions for the Bogoyavlensky-Konoplechenko equation

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Explicit solutions of the Bogoyavlensky-Konoplechenko equation

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Dromion-like structures in the \((2+1)\)-dimensional breaking soliton equation

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Bäcklund Transformation and Multisoliton Solutions in Terms of Wronskian Determinant for (2+1)-Dimensional Breaking Soliton Equations with Symbolic Computation

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OVERTURNING SOLITONS IN NEW TWO-DIMENSIONAL INTEGRABLE EQUATIONS

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Exponential polynomials

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On a direct bilinearization method: Kaup's higher-order water wave equation as a modified nonlocal Boussinesq equation

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On the combinatorics of the Hirota<i>D</i>-operators

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Soliton equations and simple combinatorics

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Construction of Bäcklund Transformations with Binary Bell Polynomials

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Bäcklund transformations and their applications

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Exact envelope-soliton solutions of a nonlinear wave equation

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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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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 solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique

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Soliton Solutions of Non-linear Evolution Equations

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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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Identifiers

zbMATH Open document ID

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10.1007/s11071-014-1279-3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2345736

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