Solving two fifth order strong nonlinear evolution equations by using the \((\frac{G}{G'})\)-expansion method

DOI10.1016/J.CNSNS.2009.10.006zbMath1222.35063OpenAlexW2010842541WikidataQ112880600 ScholiaQ112880600MaRDI QIDQ720129

Xiaomei Ying, Linghua Jin, Jing Pang, Chun-quan Bian

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.10.006

zbMATH Keywords

nonlinear evolution equationshomogeneous balance methodfifth order strong nonlinearthe \((\frac{G}{G'})\)-expansion method

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Theoretical approximation in context of PDEs (35A35)

Related Items (4)

A new auxiliary equation method for finding travelling wave solutions to KdV equation ⋮ The modified \(\frac {G \prime}{G}\)-expansion method and traveling wave solutions of nonlinear the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity ⋮ The bifurcation and exact travelling wave solutions for the modified Benjamin-Bona-Mahoney (mBBM) equation ⋮ Traveling wave solutions of some coupled nonlinear systems by sine-cosine approach

Cites Work

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• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• A generalized \((\frac{G'}{G})\)-expansion method for the mKdV equation with variable coefficients
• Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
• A generalized \((\frac{G'}{G})\)-expansion method and its applications
• Exp-function method for nonlinear wave equations
• Symbolic computation and new families of exact non-travelling wave solutions to \((3 + 1)\)-dimensional Kadomstev-Petviashvili equation
• The tanh and the sine-cosine methods for exact solutions of the MBBM and the Vakhnenko equations
• Extended tanh-function method and its applications to nonlinear equations

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