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
	2005-03-15
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN	0253-6102
卷号	43 期号:3 页码:391-396
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.
关键词	soliton equations Weierstrass elliptic function doubly periodic solution symbolic computation
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000228149400003
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1833
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.