Application of Symbolic Computation in Nonlinear Differential-Difference Equations

doi:10.1155/2009/158142

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	Application of Symbolic Computation in Nonlinear Differential-Difference Equations
	Xie, Fuding 1,2; Wang, Zhen 3; Ji, Min 1
	2009
发表期刊	DISCRETE DYNAMICS IN NATURE AND SOCIETY
ISSN	1026-0226
页码	8
摘要	A method is proposed to construct closed-form solutions of nonlinear differential-difference equations. For the variety of nonlinearities, this method only deals with such equations which are written in polynomials in function and its derivative. Some closed-form solutions of Hybrid lattice, Discrete mKdV lattice, and modified Volterra lattice are obtained by using the proposed method. The travelling wave solutions of nonlinear differential-difference equations in polynomial in function tanh are included in these solutions. This implies that the proposed method is more powerful than the one introduced by Baldwin et al. The results obtained in this paper show the validity of the proposal. Copyright (C) 2009 Fuding Xie et al.
DOI	10.1155/2009/158142
语种	英语
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000271654500001
出版者	HINDAWI PUBLISHING CORPORATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7323
专题	中国科学院数学与系统科学研究院
通讯作者	Xie, Fuding
作者单位	1.Liaoning Normal Univ, Dept Comp Sci, Dalian 116081, Liaoning, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100080, Peoples R China 3.Liaoning Normal Univ, Sch Phys & Elect Technol, Dalian 116029, Liaoning, Peoples R China
推荐引用方式 GB/T 7714	Xie, Fuding,Wang, Zhen,Ji, Min. Application of Symbolic Computation in Nonlinear Differential-Difference Equations[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2009:8.
APA	Xie, Fuding,Wang, Zhen,&Ji, Min.(2009).Application of Symbolic Computation in Nonlinear Differential-Difference Equations.DISCRETE DYNAMICS IN NATURE AND SOCIETY,8.
MLA	Xie, Fuding,et al."Application of Symbolic Computation in Nonlinear Differential-Difference Equations".DISCRETE DYNAMICS IN NATURE AND SOCIETY (2009):8.