Application of Symbolic Computation in Nonlinear Differential-Difference Equations
文献类型:期刊论文
作者 | Xie, Fuding1,2; Wang, Zhen3; Ji, Min1 |
刊名 | DISCRETE DYNAMICS IN NATURE AND SOCIETY
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出版日期 | 2009 |
页码 | 8 |
ISSN号 | 1026-0226 |
DOI | 10.1155/2009/158142 |
英文摘要 | 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. |
WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
语种 | 英语 |
WOS记录号 | WOS:000271654500001 |
出版者 | HINDAWI PUBLISHING CORPORATION |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7322] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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