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 New doubly periodic solutions of (2+1)-dimensional nonlinear wave equations via the generalized sine-Gordon equation expansion method Yan, ZY 2005-02-01 Source Publication CHINESE JOURNAL OF PHYSICS 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 CitationGB/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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