KMS Of Academy of mathematics and systems sciences, CAS
| Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE | |
| Mei, Jianqin1,2; Zhang, Hongqing1 | |
| 2009-05-15 | |
| Source Publication | APPLIED MATHEMATICS AND COMPUTATION
 |
| ISSN | 0096-3003 |
| Volume | 211Issue:2Pages:347-353 |
| Abstract | 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. |
| Keyword | Symmetry reduction Lie algebra Jimbo-Miwa equation Soliton solution |
| DOI | 10.1016/j.amc.2009.01.059 |
| Language | 英语 |
| Funding Project | National Key Basic Research Project of China[2004CB3180 00] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000265783700009 |
| Publisher | ELSEVIER SCIENCE INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/9220 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Mei, Jianqin |
| Affiliation | 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 |
| Recommended Citation 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. |
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