Rational formal solutions of differential-difference equations

被引：14
|
作者：
Yu Yaxuan [1 ]
Wang Qi
Gao Caixia
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China
[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
[3] Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
[4] Inner Mongolia Univ, Coll Sci & Technol, Dept Math, Hohhot 102021, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2007年 / 33卷 / 05期
关键词：
D O I：
10.1016/j.chaos.2006.03.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study rational formal solutions of differential-difference equations by using a generalized ansatz. With the help of symbolic computation Maple, we obtain many explicit exact solutions of differential-difference equations(DDEs). The solutions contain solitary wave solutions and periodic wave solutions. The (2 + 1)-dimensional Toda lattice equation, relativistic Toda lattice equation and the discrete mKdV equation are chosen to illustrate our algorithm. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：1642 / 1651
页数：10
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