Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm
文献类型：期刊论文
| 作者 | Yan, ZY
|
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2006-04-15 |
| 卷号 | 64期号:8页码:1798-1811 |
| 关键词 | discrete soliton equations discrete sine-Gordon expansion method solitary wave solution symbolic computation |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2005.07.018 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000236045500010 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3269]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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