Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system | |
Chen, Yong; Yan, Zhenya | |
刊名 | APPLIED MATHEMATICS AND COMPUTATION |
2006-06-01 | |
卷号 | 177期号:1页码:85-91 |
ISSN号 | 0096-3003 |
DOI | 10.1016/j.amc.2005.10.037 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000238935900009 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2509] |
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. |
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