(G′/G)展开在变Boussinesq方程行波解中的应用

2012 Fifth International Joint Conference on Computational Sciences and Optimization Pub Date : 2012-06-23 DOI:10.1109/CSO.2012.85

Wei Li, Chunlei Ruan

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引用次数: 0

摘要

(G′/G)展开法可用于构造非线性发展方程的精确行波解，其中G=G(ξ)满足一个二阶线性常微分方程(LODE)，通过该方程可得到变量Boussinesq方程的含参数行波解。行波解用双曲函数、三角函数和有理函数表示。

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Applications of (G'/G)-expansion to Traveling Wave Solutions for Variant Boussinesq Equations

The (G'/G)-expansion method can be used for constructing exact traveling wave solutions of nonlinear evolution equations, where G=G(ξ) satisfies a second order linear ordinary differential equation (LODE for short), by which the traveling wave solutions involving parameters for the variant Boussinesq equations are obtained. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions.

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2012 Fifth International Joint Conference on Computational Sciences and Optimization

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