New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms
文献类型：期刊论文
| 作者 | Yan, ZY
|
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2006-03-01 |
| 卷号 | 64期号:5页码:901-909 |
| 关键词 | nonlinear wave equation comptacton-like solution solitary patterns-like solution symbolic computation |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2005.03.115 |
| 英文摘要 | It has been shown that many fully nonlinear wave equations with nonlinear dispersion terms possess compacton solutions and solitary patterns solutions. In this paper, with the aid of Maple, the mKdV equation, the equation with a source term, the five order KdV-like equation and the KdV-mKdV equation are investigated using some new, generalized transformations. As a consequence, it is shown that these equations with linear dispersion terms admit new compacton-like solutions and solitary patterns-like solutions. These transformations can be also extended to other nonlinear wave equations with nonlinear dispersion terms to seek new compacton-like solutions and solitary patterns-like solutions. (c) 2005 Published by Elsevier Ltd. |
| 语种 | 英语 |
| WOS记录号 | WOS:000234958300002 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2611]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, ZY |
| 作者单位 | Chinese Acad Sci, Key Lab Math Mechanizat, Inst Syst Sci, AMSS, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, ZY. New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2006,64(5):901-909. |
| APA | Yan, ZY.(2006).New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,64(5),901-909. |
| MLA | Yan, ZY."New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 64.5(2006):901-909. |
入库方式： OAI收割
来源：数学与系统科学研究院
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