Generalized transformations and abundant new families of exact solutions for (2+1)-dimensional dispersive long wave equations
文献类型：期刊论文
| 作者 | Yan, ZY |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2003-10-01 |
| 卷号 | 46期号:8-9页码:1363-1372 |
| 关键词 | (2+1)-dimensional dispersive long wave equation variant Boussinesq equation Riccati equation solitary wave solution periodic wave solution |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/S0898-1221(03)00366-3 |
| 英文摘要 | A new generalized transformation based upon the well-known Riccati equation is presented and applied to find exact solutions of the (2 + 1)-dimensional dispersive long wave equation. Many explicit exact solutions are obtained that include new solitary and periodic wave solutions, and combined formal solitary and periodic wave solutions. The variant Boussinesq equation, as a special case of the (2 + 1)-dimensional dispersive long wave equation, is also solved. These exact solutions are obtained computationally using the Wu elimination method with the aid of Mathematica to solve the large system of algebraic equations produced by the solution ansatz. (C) 2003 Elsevier Ltd. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000186838100017 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19001]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yan, ZY |
| 作者单位 | Chinese Acad Sci, Key Lab Math Mech, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, ZY. Generalized transformations and abundant new families of exact solutions for (2+1)-dimensional dispersive long wave equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2003,46(8-9):1363-1372. |
| APA | Yan, ZY.(2003).Generalized transformations and abundant new families of exact solutions for (2+1)-dimensional dispersive long wave equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,46(8-9),1363-1372. |
| MLA | Yan, ZY."Generalized transformations and abundant new families of exact solutions for (2+1)-dimensional dispersive long wave equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 46.8-9(2003):1363-1372. |
入库方式： OAI收割
来源：数学与系统科学研究院
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