New doubly periodic solutions of (2+1)-dimensional nonlinear wave equations via the generalized sine-Gordon equation expansion method

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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
发表期刊	CHINESE JOURNAL OF PHYSICS
ISSN	0577-9073
卷号	43 期号:1 页码:26-42
摘要	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.
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000227173600003
出版者	PHYSICAL SOC REPUBLIC CHINA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2151
专题	系统科学研究所
通讯作者	Yan, ZY
作者单位	Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China
推荐引用方式 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.