KMS Of Academy of mathematics and systems sciences, CAS
| New doubly periodic solutions of (2+1)-dimensional nonlinear wave equations via the generalized sine-Gordon equation expansion method | |
Yan, ZY
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| 2005-02-01 | |
| Source Publication | CHINESE JOURNAL OF PHYSICS
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| ISSN | 0577-9073 |
| Volume | 43Issue:1Pages:26-42 |
| Abstract | A generalized sine-Gordon equation expansion method is developed using the famous sine-Gordon equation and a generalized transformation. The method is simple and more powerful than the known sine-cosine method and its extensions, as well as the sn- and cn-function method, for seeking more types of exact solutions of nonlinear wave equations. With the aid of Maple, we choose the (2+1)-dimensional modified KP equation and (2+1)-dimensional coupled Davey-Stewartson equation to illustrate this method. As a consequence many types of new doubly-periodic solutions are obtained. When the modulus m 1 the corresponding solutions reduce to solitary waves and their extensions. This method can be applied to the nonlinear wave equations in mathematical physics and carried out on a computer by the aid of Maple. |
| Language | 英语 |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary |
| WOS ID | WOS:000227173600003 |
| Publisher | PHYSICAL SOC REPUBLIC CHINA |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/2151 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yan, ZY |
| Affiliation | Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China |
| Recommended Citation GB/T 7714 | Yan, ZY. New doubly periodic solutions of (2+1)-dimensional nonlinear wave equations via the generalized sine-Gordon equation expansion method[J]. CHINESE JOURNAL OF PHYSICS,2005,43(1):26-42. |
| APA | Yan, ZY.(2005).New doubly periodic solutions of (2+1)-dimensional nonlinear wave equations via the generalized sine-Gordon equation expansion method.CHINESE JOURNAL OF PHYSICS,43(1),26-42. |
| MLA | Yan, ZY."New doubly periodic solutions of (2+1)-dimensional nonlinear wave equations via the generalized sine-Gordon equation expansion method".CHINESE JOURNAL OF PHYSICS 43.1(2005):26-42. |
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