Exact travelling wave solutions of the discrete sine-Gordon equation obtained via the exp-function method

被引：21
|
作者：
Dai, Chao-Qing [1 ]
Cen, Xu [1 ]
Wu, Sheng-Sheng [1 ]
机构：
[1] Zhejiang Forestry Univ, Sch Sci, Linan 311300, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 01期
关键词：
Discrete sine-Gordon equation; Exact travelling wave solution; Exp-function approach; DIFFERENTIAL-DIFFERENCE EQUATIONS; NONLINEAR EVOLUTION-EQUATIONS; INVERSE SCATTERING TRANSFORM; SYMBOLIC COMPUTATION;
D O I：
10.1016/j.na.2007.11.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we generalize the exp-function method, which was used to find new exact travelling wave solutions of nonlinear partial differential equations (NPDEs) or coupled nonlinear partial differential equations, to nonlinear differential-difference equations (NDDEs). As an illustration, two series of exact travelling wave solutions of the discrete sine-Gordon equation are obtained by means of the exp-function method. As some special examples, these new exact travelling wave solutions can degenerate into the kink-type solitary wave solutions reported in the open literature. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：58 / 63
页数：6
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