New doubly periodic solutions of nonlinear evolution equations via Weierstrass elliptic function expansion algorithm

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	New doubly periodic solutions of nonlinear evolution equations via Weierstrass elliptic function expansion algorithm
	Yan, ZY; Yan Zhenya
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2004-11-15
卷号	42 期号:5 页码:645-648
关键词	Weierstrass elliptic function doubly perodic solution symbolic computation
ISSN号	0253-6102
英文摘要	A Weierstrass elliptic function expansion method and its algorithm are developed in this paper. The method changes the problem solving nonlinear evolution equations into anotherone solving the corresponding system of nonlinear algebraic equations. With the aid of symbolic computation (e.g. Maple), the method is applied to the combined KdV-mKdV equation and (2+1)-dimensional coupled Davey-Stewartson equation. As a consequence, many new types of doubly periodic solutions are obtained in terms of the Weierstrass elliptic function. Jacobi elliptic function solutions and solitary wave solutions are also given as simple limits of doubly periodic solutions.
语种	英语
出版者	INT ACADEMIC PUBL
WOS记录号	WOS:000225674200002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/19326]
专题	系统科学研究所
通讯作者	Yan, ZY
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, ZY,Yan Zhenya. New doubly periodic solutions of nonlinear evolution equations via Weierstrass elliptic function expansion algorithm[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2004,42(5):645-648.
APA	Yan, ZY,&Yan Zhenya.(2004).New doubly periodic solutions of nonlinear evolution equations via Weierstrass elliptic function expansion algorithm.COMMUNICATIONS IN THEORETICAL PHYSICS,42(5),645-648.
MLA	Yan, ZY,et al."New doubly periodic solutions of nonlinear evolution equations via Weierstrass elliptic function expansion algorithm".COMMUNICATIONS IN THEORETICAL PHYSICS 42.5(2004):645-648.