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

doi:10.1016/j.na.2005.07.018

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	Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm
	Yan, ZY
	2006-04-15
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	64 期号:8 页码:1798-1811
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.
关键词	discrete soliton equations discrete sine-Gordon expansion method solitary wave solution symbolic computation
DOI	10.1016/j.na.2005.07.018
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000236045500010
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/3270
专题	系统科学研究所
通讯作者	Yan, ZY
作者单位	Chinese Acad Sci, AMSS, Key Lab Math Mechanizat, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, ZY. Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2006,64(8):1798-1811.
APA	Yan, ZY.(2006).Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,64(8),1798-1811.
MLA	Yan, ZY."Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 64.8(2006):1798-1811.