Single and multi-solitary wave solutions to a class of nonlinear evolution equations
文献类型：期刊论文
| 作者 | Wang, Deng-Shan1,2; Li, Hongbo1
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2008-07-01 |
| 卷号 | 343期号:1页码:273-298 |
| 关键词 | travelling wave solution multi-solitary wave factorization technique Bessel functions Hirota's bilinear method Painleve analysis Riccati equation elliptic equation |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2008.01.039 |
| 英文摘要 | In this paper, an effective discrimination algorithm is presented to deal with equations arising from physical problems. The aim of the algorithm is to discriminate and derive the single traveling wave solutions of a large class of nonlinear evolution equations. Many examples are given to illustrate the algorithm. At the same time, some factorization technique are presented to construct the traveling wave solutions of nonlinear evolution equations, such as Camassa-Holm equation, Kolmogorov-Petrovskii-Piskunov equation, and so on. Then a direct constructive method called multi-auxiliary equations expansion method is described to derive the multi-solitary wave solutions of nonlinear evolution equations. Finally, a class of novel multi-solitary wave solutions of the (2 + 1)-dimensional asymmetric version of the Nizhnik-Novikov-Veselov equation are given by three direct methods. The algorithm proposed in this paper can be steadily applied to some other nonlinear problems. (c) 2008 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000255653900024 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5710]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Wang, Deng-Shan |
| 作者单位 | 1.Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Deng-Shan,Li, Hongbo. Single and multi-solitary wave solutions to a class of nonlinear evolution equations[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2008,343(1):273-298. |
| APA | Wang, Deng-Shan,&Li, Hongbo.(2008).Single and multi-solitary wave solutions to a class of nonlinear evolution equations.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,343(1),273-298. |
| MLA | Wang, Deng-Shan,et al."Single and multi-solitary wave solutions to a class of nonlinear evolution equations".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 343.1(2008):273-298. |
入库方式： OAI收割
来源：数学与系统科学研究院
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