文章基本信息

标题：Exact solitary wave and quasi-periodic wave solutions of the KdV-Sawada-Kotera-Ramani equation
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作者：Lijun Zhang ; Chaudry Masood Khalique
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：195
DOI：10.1186/s13662-015-0510-y
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper we derive new exact solitary wave solutions and quasi-periodic traveling wave solutions of the KdV-Sawada-Kotera-Ramani equation by using a method which we introduce here for the first time. Firstly, we reduce the associated fourth-order nonlinear ordinary differential equation (ODE) into a solvable first-order nonlinear ODE to obtain new exact traveling wave solutions, including the solitary wave and periodic solutions. Furthermore, using the new method we derive the quasi-periodic wave solutions of this equation by assuming that the solutions of the corresponding higher-order ODE are the sum of the solutions of two solvable first-order nonlinear ODEs. This new method can be used to investigate the exact traveling wave solutions and quasi-periodic wave solutions of a general class of higher-order wave equations.
关键词：nonlinear wave equations ; traveling wave solutions ; sub-equation method ; quasi-periodic wave solutions