New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations

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	New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations
	Yan, ZY
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2005-03-15
卷号	43 期号:3 页码:391-396
关键词	soliton equations Weierstrass elliptic function doubly periodic solution symbolic computation
ISSN号	0253-6102
英文摘要	Based on the Weierstrass elliptic function equation, a new Weierstrass semi-rational expansion method and its algorithm axe presented. The main idea of the method changes the problem solving soliton equations into another one-solving the corresponding set of nonlinear algebraic equations. With the aid of Maple, we choose the modified KdV equation, (2+1)-dimensional KP equation, and (3+1)-dimensional Jimbo-Miwa equation to illustrate our algorithm. As a consequence, many types of new doubly periodic solutions are obtained in terms of the Weierstrass elliptic function. Moreover the corresponding new Jacobi elliptic function solutions and solitary wave solutions are also presented as simple limits of doubly periodic solutions.
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000228149400003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/1832]
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 Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, ZY. New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2005,43(3):391-396.
APA	Yan, ZY.(2005).New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations.COMMUNICATIONS IN THEORETICAL PHYSICS,43(3),391-396.
MLA	Yan, ZY."New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations".COMMUNICATIONS IN THEORETICAL PHYSICS 43.3(2005):391-396.