On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations
文献类型：期刊论文
| 作者 | Shen, Yaliang2,3; Zhu, Yueping2; Cao, Nanbin1,3 |
| 刊名 | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
 |
| 出版日期 | 2009-04-01 |
| 卷号 | 14期号:4页码:1176-1185 |
| 关键词 | Symbolic computation Newly extended tanh-function expansion method Non-travelling wave solution Soliton-like solution |
| ISSN号 | 1007-5704 |
| DOI | 10.1016/j.cnsns.2008.01.002 |
| 英文摘要 | The overall aim of the present paper is to find and analyze the new non-travelling wave solutions of the nonlinear evolution and wave equations. With the aid of symbolic computation and based on the generalized extended tanh-function method, we propose the newly extended tanh-function expansion algorithm and get many new non-travelling wave solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations. The solutions which we obtain are more abundant than the solutions which the generalized extended tanh-function method gets. At the same time, the solutions contain arbitrary functions which may be helpful to explain some complex phenomena. We also give some figures to describe the property of these solutions. In additions, the method can also be successfully applied to other nonlinear evolution and wave equations. (C) 2008 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000264295800026 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8475]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cao, Nanbin |
| 作者单位 | 1.Shijiazhuang Univ Econ, Sch Sci, Shijiazhuang 050031, Hebei, Peoples R China 2.Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R China 3.Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shen, Yaliang,Zhu, Yueping,Cao, Nanbin. On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2009,14(4):1176-1185. |
| APA | Shen, Yaliang,Zhu, Yueping,&Cao, Nanbin.(2009).On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,14(4),1176-1185. |
| MLA | Shen, Yaliang,et al."On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 14.4(2009):1176-1185. |
入库方式： OAI收割
来源：数学与系统科学研究院
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