文章基本信息

标题：Application of Linear ODE as Auxiliary Equation to the Nonlinear Evolution Equation
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作者：Hasibun Naher ; Fardousi Ara Begum
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：2015
卷号：3
期号：1
页码：23-28
DOI：10.12691/ajams-3-1-5
语种：English
出版社：Science and Education Publishing
摘要：In this article, simplified Modified Camassa-Holm (SMCH) equation is investigated to construct some new analytical solutions via the improved (G’/G)-expansion method. Second order linear ordinary differential equation is used with constant coefficients in the method. As a result, some new travelling wave solutions are obtained through the hyperbolic function, the trigonometric function and the rational forms. If parameters take specific values, the solitary waves are derives from the travelling waves. Furthermore, some of the solutions are presented in the figures with the aid of commercial software Maple.
关键词：The SMCH equation; analytical solutions; nonlinear partial differential equation; ordinary differential equation; auxiliary equation; the improved (G’/G)-expansion method