Auxiliary equation method for the mKdV equation with variable coefficients (Q609287)

scientific article; zbMATH DE number 5821447

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English	Auxiliary equation method for the mKdV equation with variable coefficients	scientific article; zbMATH DE number 5821447

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instance of

scholarly article

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title

Auxiliary equation method for the mKdV equation with variable coefficients (English)

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Applied Mathematics and Computation

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publication date

30 November 2010

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zbMATH Keywords

nonlinear evolution equations

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auxiliary equation method

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mKdV equation with variable coefficients

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solitary wave solution

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describes a project that uses

ATFM

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2009.06.017

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cites work

Q3995225

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The generalizing Riccati equation mapping method in non-linear evolution equation: Application to \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation

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Solitary wave solutions for variant Boussinesq equations

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Exact solutions for a compound KdV-Burgers equation

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Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics

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Exp-function method for nonlinear wave equations

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Application of exp-function method to high-dimensional nonlinear evolution equation

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Application of exp-function method for \((3+1)\)-dimensional nonlinear evolution equations

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Exp-function method for solving the generalized-Zakharov equations

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The periodic wave solutions for the Klein-Gordon-Schrödinger equations

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The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations

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Periodic wave solutions to a coupled KdV equations with variable coefficients

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Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion

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Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

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Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method

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Distinct variants of the KdV equation with compact and noncompact structures.

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Variants of the generalized KdV equation with compact and noncompact structures

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The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

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An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations

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Extended tanh-function method and its applications to nonlinear equations

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New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations

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The subsidiary ordinary differential equations and the exact solutions of the higher order dispersive nonlinear Schrödinger equation

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Various exact solutions of nonlinear Schrödinger equation with two nonlinear terms

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A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms

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Sub-ODE method and solitary wave solutions for higher order nonlinear Schrödinger equation

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The improved sub-ODE method for a generalized KdV-mKdV equation with nonlinear terms of any order

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New exact travelling wave solutions for some nonlinear evolution equations. II

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Auxiliary equation method for solving nonlinear partial differential equations

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The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations

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A generalized \((\frac{G'}{G})\)-expansion method for the mKdV equation with variable coefficients

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New exact solutions to the mKdV equation with variable coefficients

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Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation

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Complexiton solutions to the Korteweg-de Vries equation

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Exact solutions to a nonlinear dispersive model with variable coefficients

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Explicit solutions of two nonlinear dispersive equations with variable coefficients

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Q4112233

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Symbolic computation and non-travelling wave solutions of \((2 + 1)\)-dimensional nonlinear evolution equations

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A further improved extended Fan sub-equation method for \((2+1)\)-dimensional breaking soliton equations

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Periodic structures based on variable separation solution of the (2+1)-dimensional boiti-leon-pempinelli equation

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Semifoldons with Fusion and fission properties of \((2 + 1)\)-dimensional nonlinear system

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Novel soliton-like and multi-solitary wave solutions of \((3+1)\)-dimensional Burgers equation

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New exact solutions of the (3+1)-dimensional Burgers system

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Identifiers

zbMATH Open document ID

1203.35222

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Mathematics Subject Classification ID

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10.1016/J.AMC.2009.06.017

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Sitelinks

Mathematics(1 entry)

mardi Publication:609287