New periodic wave solutions to nonlinear evolution equations by the extended mapping method

被引：11
|
作者：
Wu, Guojiang [1 ]
Han, Jiahua [1 ]
Zhang, Wenhang [1 ]
Zhang, Miao [1 ]
机构：
[1] Anhui Univ, Key Optoelect Informat Acquisit & Manipulat, Sch Phys & Mat Sci, Anhui Univ Lab,Minist Educ, Hefei 230029, Peoples R China
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2007年 / 229卷 / 02期
关键词：
auxiliary equation method; nonlinear evolution equations; periodic wave solutions;
D O I：
10.1016/j.physd.2007.03.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we make use of the extended mapping method and auxiliary equation method for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics, and we obtain some new periodic wave solutions for the generalized Klein-Gordon equation and Benjamin equation which cannot be found by previous work. This method also can be used to find new periodic wave solutions of other nonlinear evolution equations. (c) 2007 Elsevier B.V. All rights reserved.
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页码：116 / 122
页数：7
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