Rational formal solutions of differential-difference equations

doi:10.1016/j.chaos.2006.03.013

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	Rational formal solutions of differential-difference equations
	Yu Yaxuan ; Wang Qi ; Gao Caixia
	2007-08-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	33 期号:5 页码:1642-1651
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.
DOI	10.1016/j.chaos.2006.03.013
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000246546500023
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4454
专题	中国科学院数学与系统科学研究院
通讯作者	Yu Yaxuan
作者单位	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
推荐引用方式 GB/T 7714	Yu Yaxuan,Wang Qi,Gao Caixia. Rational formal solutions of differential-difference equations[J]. CHAOS SOLITONS & FRACTALS,2007,33(5):1642-1651.
APA	Yu Yaxuan,Wang Qi,&Gao Caixia.(2007).Rational formal solutions of differential-difference equations.CHAOS SOLITONS & FRACTALS,33(5),1642-1651.
MLA	Yu Yaxuan,et al."Rational formal solutions of differential-difference equations".CHAOS SOLITONS & FRACTALS 33.5(2007):1642-1651.