文章基本信息

标题：The Improved (G^’/G)-Expansion Method to the (3+1)-Dimensional Kadomstev-Petviashvili Equation
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作者：Hasibun Naher ; Farah Aini Abdullah
期刊名称：American Journal of Applied Mathematics and Statistics
印刷版ISSN：2328-7306
电子版ISSN：2328-7292
出版年度：2013
卷号：1
期号：4
页码：64-70
DOI：10.12691/ajams-1-4-3
语种：English
出版社：Science and Education Publishing
摘要：In this article, the improved (G^’/G)-expansion method has been implemented to generate travelling wave solutions, where G(ξ) satisfies the second order linear ordinary differential equation. To show the advantages of the method, the (3+1)-dimensional Kadomstev-Petviashvili (KP) equation has been investigated. Higher-dimensional nonlinear partial differential equations have many potential applications in mathematical physics and engineering sciences. Some of our solutions are in good agreement with already published results for a special case and others are new. The solutions in this work may express a variety of new features of waves. Furthermore, these solutions can be valuable in the theoretical and numerical studies of the considered equation. Also, in order to understand the behaviour of solutions, the graphical representations of some obtained solutions have been presented.
关键词： the improved (G^’/G)-expansion method; the Kadomstev-Petviashvili equation; traveling wave solutions; nonlinear evolution equations