The improved sub-ODE method for a generalized KdV-mKdV equation with nonlinear terms of any order (Q637897)

scientific article; zbMATH DE number 5945879

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English	The improved sub-ODE method for a generalized KdV-mKdV equation with nonlinear terms of any order	scientific article; zbMATH DE number 5945879

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instance of

scholarly article

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title

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

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6 September 2011

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zbMATH Keywords

sub-ODE method

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nonlinear partial differential equations

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traveling wave solutions

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.physleta.2008.02.048

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cites work

Q3995225

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Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

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The Painlevé property for partial differential equations

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A simple transformation for nonlinear waves.

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Exact solutions for a compound KdV-Burgers equation

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Application of He's homotopy perturbation method to Volterra's integro-differential equation

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Homotopy perturbation method for bifurcation of nonlinear problems

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Variational iteration method -- a kind of non-linear analytical technique: Some examples

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SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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The solution of KdV and mKdV equations using Adomian Padé approximation

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

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The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

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Exp-function method for nonlinear wave equations

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New periodic solutions for nonlinear evolution equations using Exp-function method

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Exp-function method and its application to nonlinear equations

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Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method

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Application of Exp-function method to a KdV equation with variable coefficients

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

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Exp-function method for solving Maccari's system

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Exact solutions of a KdV equation with variable coefficients via Exp-function method

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Exp-function method exactly solving a KdV equation with forcing term

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New application of Exp-function method for improved Boussinesq equation

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Application of Exp-function method for nonlinear evolution equations with variable coefficients

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The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation

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A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation

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Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations

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New exact solutions of the KdV-Burgers-Kuramoto equation

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The periodic wave solutions for the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations

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The periodic wave solutions for the \((2+1)\)-dimensional dispersive long water equations

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Further improved \(F\)-expansion method and new exact solutions of Kadomstev-Petviashvili equation

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A generalized \(F\)-expansion method and new exact solutions of Konopelchenko--Dubrovsky equations

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A generalized \(F\)-expansion method with symbolic computation exactly solving Broer-Kaup equations

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An improved generalized \(F\)-expansion method and its application to the \((2 + 1)\)-dimensional KdV equations

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A generalized auxiliary equation method and its application to (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov equations

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A generalized new auxiliary equation method and its applications to nonlinear partial differential equations

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A generalized auxiliary equation method and its application to the \((2 + 1)\)-dimensional KdV equations

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A generalized new auxiliary equation method and its application to the (2 + 1)-dimensional breaking soliton equations

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A generalized auxiliary equation method and its application to \((2+1)\)-dimensional Korteweg-de Vries equations

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Solitary wave solutions of nonlinear wave equations

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Modified extended tanh-function method for solving nonlinear partial differential equations

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On a new modified extended tanh-function method

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On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations

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Symbolic computation in nonlinear evolution equation: application to \((3+1)\)-dimensional Kadomtsev-Petviashvili equation

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Symbolic computation and new families of exact non-travelling wave solutions to \((3 + 1)\)-dimensional Kadomstev-Petviashvili equation

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Symbolic computation and new families of exact non-travelling wave solutions of \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations

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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 sub-ODE method for finding exact travelling wave solutions of generalized nonlinear Camassa-Holm, and generalized nonlinear Schrödinger 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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Identifiers

zbMATH Open document ID

1220.35157

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Mathematics Subject Classification ID

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10.1016/J.PHYSLETA.2008.02.048

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Sitelinks

Mathematics(1 entry)

mardi Publication:637897