A new generalized Riccati equation rational expansion method to a class of nonlinear evolution equations with nonlinear terms of any order

DOI10.1016/j.amc.2006.08.013zbMath1114.65125OpenAlexW1998090780MaRDI QIDQ876651

Hong-Qing Zhang, Xiao-Ling Zhang

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.013

zbMATH Keywords

symbolic computationnonlinear evolution equationstravelling-wave solutionsgeneralized Riccati equation rational expansion methodtanh methods

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of mathematical physics, The extended \(\left( \frac {G^{\prime}}{G}\right)\)-expansion method and its applications to the Whitham-Broer-Kaup-like equations and coupled Hirota-Satsuma KdV equations, A new rational auxiliary equation method and exact solutions of a generalized Zakharov system

Uses Software

• MACSYMA

Cites Work

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• New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation
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