Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE
文献类型：期刊论文
| 作者 | Mei, Jianqin1,2; Zhang, Hongqing1 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2009-05-15 |
| 卷号 | 211期号:2页码:347-353 |
| 关键词 | Symmetry reduction Lie algebra Jimbo-Miwa equation Soliton solution |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2009.01.059 |
| 英文摘要 | The symmetry of the (3 + 1)-dimensional partial differential equation has been derived via a direct symmetry method and proved to be in finite dimensional non-Virasoro type symmetry algebra. Many kinds of symmetry reductions have been obtained, including the (2 + 1)-dimensional ANNV equation and breaking soliton equation. And some new soliton solutions and complex solutions are obtained due to the Riccati equation method and symbolic computation. Crown Copyright (c) 2009 Published by Elsevier Inc. All rights reserved. |
| 资助项目 | National Key Basic Research Project of China[2004CB3180 00] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000265783700009 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9219]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Mei, Jianqin |
| 作者单位 | 1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mei, Jianqin,Zhang, Hongqing. Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE[J]. APPLIED MATHEMATICS AND COMPUTATION,2009,211(2):347-353. |
| APA | Mei, Jianqin,&Zhang, Hongqing.(2009).Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE.APPLIED MATHEMATICS AND COMPUTATION,211(2),347-353. |
| MLA | Mei, Jianqin,et al."Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE".APPLIED MATHEMATICS AND COMPUTATION 211.2(2009):347-353. |
入库方式： OAI收割
来源：数学与系统科学研究院
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