The \((\frac{G'}{G})\)-expansion method for some nonlinear evolution equations

DOI10.1016/j.amc.2010.05.073zbMath1200.35263OpenAlexW2041962052MaRDI QIDQ708192

Alaattin Esen, Orkun Tasbozan, Selcuk Kutluay

Publication date: 11 October 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.073

zbMATH Keywords

sine-Gordon equationLiouville equation\((\frac{G'}{G})\)-expansion methodcoupled mKdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (3)

Double exp-function method for multisoliton solutions of the Tzitzeica-Dodd-Bullough equation ⋮ An efficient fourth-order three-point scheme for solving some nonlinear dispersive wave equations ⋮ Exact solutions of equation generated by the Jaulent-Miodek hierarchy by \((G'/G)\)-expansion method

Cites Work

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• Exp-function method for nonlinear wave equations
• The \((G'/G)\)-expansion method and travelling wave solutions for a higher-order nonlinear Schrödinger equation
• A generalized \((\frac {G^\prime}{G})\)-expansion method and its application to the (2 + 1)-dimensional Broer-Kaup equations
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• The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations
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• Construction of solitary solution and compacton-like solution by variational iteration method
• The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations

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