KMS Of Academy of mathematics and systems sciences, CAS
| Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation | |
| Wang, Qi; Chen, Yong; Zhang, Hongqing | |
| 2006-10-01 | |
| Source Publication | APPLIED MATHEMATICS AND COMPUTATION
 |
| ISSN | 0096-3003 |
| Volume | 181Issue:1Pages:247-255 |
| Abstract | With the help of the symbolic computation system Maple, a new generalized algebraic method to uniformly construct solutions in terms of special function of nonlinear partial differential equations is presented by means of a more general ansatz. As an application of the method, we choose a (2 + 1)-dimensional dispersive long wave equation to illustrate the method. As a result, we can successfully obtain the solutions found by the method proposed by Fan [E.G. Fan, Phys. Lett. A 300 (2002) 243] and find other new and more general solutions at the same time, which include polynomial solutions, exponential solutions, rational solutions, triangular periodic wave solutions, hyperbolic, and soliton solutions, Jacobi, and Weierstrass doubly periodic wave solutions. (c) 2006 Published by Elsevier Inc. |
| Keyword | symbolic computation (2+1)-dimensional dispersive long wave equation Weierstrass and Jacobi elliptic functions soliton solution periodic solution |
| DOI | 10.1016/j.amc.2006.01.038 |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000242276600024 |
| Publisher | ELSEVIER SCIENCE INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/3682 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Wang, Qi |
| 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 3.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China |
| Recommended Citation GB/T 7714 | Wang, Qi,Chen, Yong,Zhang, Hongqing. Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,181(1):247-255. |
| APA | Wang, Qi,Chen, Yong,&Zhang, Hongqing.(2006).Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation.APPLIED MATHEMATICS AND COMPUTATION,181(1),247-255. |
| MLA | Wang, Qi,et al."Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation".APPLIED MATHEMATICS AND COMPUTATION 181.1(2006):247-255. |
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