Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system

doi:10.1016/j.amc.2005.10.037

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	Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system
	Chen, Yong ; Yan, Zhenya
	2006-06-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	177 期号:1 页码:85-91
摘要	In the paper, with the aid of symbolic computation, we investigate the generalized Hirota-Satsuma coupled KdV system via our Weierstrass semi-rational expansion method presented recently using the rational expansion of Weierstrass elliptic function and its first-order derivative. As a consequence, three families of new Weierstrass elliptic function solutions via Weierstrass elliptic function gamma'(xi;g(2),g(3)) and its first-order derivative gamma'(xi;g(2),g(3)). Moreover, the corresponding new Jacobi elliptic function solutions and solitary wave solutions are also presented, and when xi -> infinity, these solitary wave solutions approach to some constants. (c) 2005 Elsevier Inc. All rights reserved.
DOI	10.1016/j.amc.2005.10.037
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000238935900009
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2510
专题	系统科学研究所
通讯作者	Chen, Yong
作者单位	1.Ningbo Univ, Nonlinear Sci Ctr, Ningbo 315211, Peoples R China 2.Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China 3.Chinese Acad Sci, Key Lab Math Mechanizat, Inst Syst Sci, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yong,Yan, Zhenya. Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,177(1):85-91.
APA	Chen, Yong,&Yan, Zhenya.(2006).Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system.APPLIED MATHEMATICS AND COMPUTATION,177(1),85-91.
MLA	Chen, Yong,et al."Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system".APPLIED MATHEMATICS AND COMPUTATION 177.1(2006):85-91.