Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm

被引：20
|
作者：
Yan, ZY [1 ]
机构：
[1] Chinese Acad Sci, AMSS, Key Lab Math Mechanizat, Inst Syst Sci, Beijing 100080, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 08期
基金：
中国国家自然科学基金;
关键词：
discrete soliton equations; discrete sine-Gordon expansion method; solitary wave solution; symbolic computation;
D O I：
10.1016/j.na.2005.07.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, we have presented a sine-Gordon expansion method to construct new exact solutions of a wide of continuous nonlinear evolution equations. In this paper we further develop the method to be the discrete sine-Gordon expansion method in nonlinear differential-difference equations, in particular, discrete soliton equations. We choose the modified Volterra lattice and Volterra lattice equation to illustrate the new method such as many types of new exact solutions are obtained. Moreover some figures display the profiles of the obtained solutions. Our method can be also applied to other discrete soliton equations. (c) 2005 Published by Elsevier Ltd.
引用
收藏
页码：1798 / 1811
页数：14
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