Application of the \((\frac{G'}{G})\)-expansion method to solve coupled MKdV equations and coupled Hirota-Satsuma coupled KdV equations

DOI10.1016/j.amc.2010.12.104zbMath1210.35221OpenAlexW2022202140MaRDI QIDQ628980

Yao-Ming Zhang, Jin-Ming Zuo

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.104

zbMATH Keywords

travelling wave solution\((\frac{G'}{G})\)-expansion methodcoupled MKdV equationscoupled Hirota-Satsuma coupled KdV equations

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

Nonlinear stability of breather solutions to the coupled modified Korteweg-de Vries equations, Exact solutions of equation generated by the Jaulent-Miodek hierarchy by \((G'/G)\)-expansion method, New travelling wave solutions for plasma model of extended K-dV equation, Numerical solution of a coupled modified Korteweg–de Vries equation by the Galerkin method using quadratic B-splines

Uses Software

• ATFM

Cites Work

• Unnamed Item
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• Extended tanh-function method and its applications to nonlinear equations
• Solitary wave solutions of nonlinear wave equations
• The decomposition method for a Hirota–Satsuma coupled KdV equation and a coupled MKdV equation
• Exact envelope-soliton solutions of a nonlinear wave equation