Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations
文献类型：期刊论文
| 作者 | Wang, MJ; Wang, Q |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2006-05-15 |
| 卷号 | 45期号:5页码:785-789 |
| 关键词 | extended Riccati equation rational expansion method nonlinear stochastic evolution equation stochastic mKdV equation soliton-like solutions |
| ISSN号 | 0253-6102 |
| 英文摘要 | In this work, by means of a new more general ansatz and the symbolic computation system Maple, we extend the Riccati equation rational expansion method [Chaos, Solitons & Fractals 25 (2005) 1019] to uniformly construct a series of stochastic nontravelling wave solutions for nonlinear stochastic evolution equation. To illustrate the effectiveness of our method, we take the stochastic mKdV equation as an example, and successfully construct some new and more general solutions including a series of rational formal nontraveling wave and coefficient functions' soliton-like solutions and trigonometric-like function solutions. The method can also be applied to solve other nonlinear stochastic evolution equation or equations. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000237872800004 |
| 出版者 | INTERNATIONAL ACADEMIC PUBLISHERS LIMITED |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3866]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, MJ |
| 作者单位 | 1.Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China 2.Dalian Univ Technol, Dept Math Appl, Dalian 116024, Peoples R China 3.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, MJ,Wang, Q. Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2006,45(5):785-789. |
| APA | Wang, MJ,&Wang, Q.(2006).Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations.COMMUNICATIONS IN THEORETICAL PHYSICS,45(5),785-789. |
| MLA | Wang, MJ,et al."Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations".COMMUNICATIONS IN THEORETICAL PHYSICS 45.5(2006):785-789. |
入库方式： OAI收割
来源：数学与系统科学研究院
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