期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 215, 期 9, 页码 3214-3221出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2009.10.008
关键词
Extended (G '/G)-expansion method; Solitary wave solution; Nonlinear evolution equations; Whitham-Broer-Kaup-Like equations; Coupled Hirota-Satsuma KdV equations
In this paper, based on a new general ansatze, the extended (G'/G)-expansion method is proposed to seek exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to construct travelling wave solutions of Whitham-Broer-Kaup-Like equations and coupled Hirota-Satsuma KdV equations. By using this method, new exact solutions involving parameters, expressed by three types of functions which are the hyperbolic functions, the trigonometric functions and the rational functions, are obtained. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions. (C) 2009 Elsevier Inc. All rights reserved.
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