期刊名称：Walailak Journal of Science and Technology (WJST)
印刷版ISSN：2228-835X
出版年度：2014
卷号：11
期号：8
页码：643-658
DOI：10.2004/wjst.v11i8.695
语种：English
出版社：Institute of Research and Development, Walailak University.
摘要：In this article, a new (G'/G)-expansion method is proposed, where G = G(S) satisfies a second order nonlinear ordinary differential equation to seek the travelling wave solutions of nonlinear evolution equations. The Burgers equation is chosen to illustrate the validity and advantages of proposed method. Hyperbolic function, trigonometric function and rational function solutions with arbitrary constants are obtained from which some special solutions, including the known solitary wave solution, are derived by setting the appropriate values of constants. It is shown that the new (G'/G)-expansion method is effective, and gives new, more general, travelling wave solutions than the existing methods, such as the basic (G'/G)-expansion method, the extended (G'/G)-expansion method, the improved (G'/G)-expansion method, the generalized and improved (G'/G)-expansion method etc.
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