Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order
文献类型：期刊论文
| 作者 | Zhang, WG; Chang, QS; Fan, EG |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2003-11-01 |
| 卷号 | 287期号:1页码:1-18 |
| 关键词 | solitary wave exact solution generalized modified Boussinesq equation generalized nonlinear wave equation generalized Fisher equation generalized Klein-Gordon equation generalized Zakharov equation |
| ISSN号 | 0022-247X |
| DOI | 10.1016/S0022-247X(02)00336-0 |
| 英文摘要 | In this paper, we present several methods of judging shape of the solitary wave and solution formulae for some nonlinear evolution equations by means of Lienard equations. Then, using the judgement methods and solution formulae, we obtain solutions of the solitary wave for some of important nonlinear evolution equations, which include generalized modified Boussinesq, generalized nonlinear wave, generalized Fisher, generalized Klein-Gordon and generalized Zakharov equations. Some new solitary-wave solutions are found for the equations. (C) 2003 Published by Elsevier Inc. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000186208400001 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18328]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chang, QS |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Shanghai Univ Sci & Technol, Dept Basic Sci, Shanghai 200093, Peoples R China 3.Fudan Univ, Inst Math, Shanghai 200433, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, WG,Chang, QS,Fan, EG. Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2003,287(1):1-18. |
| APA | Zhang, WG,Chang, QS,&Fan, EG.(2003).Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,287(1),1-18. |
| MLA | Zhang, WG,et al."Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 287.1(2003):1-18. |
入库方式： OAI收割
来源：数学与系统科学研究院
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