The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations

doi:10.1016/j.chaos.2005.04.011

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	The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations
	Yu, YX ; Wang, Q ; Zhang, HQ
	2005-12-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	26 期号:5 页码:1415-1421
摘要	In this paper, we extend the Jacobi elliptic function rational expansion method by using a new generalized ansatz. With the help of symbolic computation, we construct more new explicit exact solutions of nonlinear evolution equations (NLEEs). We apply this method to a generalized Hirota-Satsuma coupled KdV equations and gain more general solutions. The general solutions not only contain the solutions by the existing Jacobi elliptic function expansion methods but also contain many new solutions. When the modulus of the Jacobi elliptic functions m -> 1 or 0, the corresponding solitary wave solutions and triangular functional (singly periodic) solutions are also obtained. (c) 2005 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2005.04.011
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000230330800017
出版者	PERGAMON-ELSEVIER SCIENCE 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/2244
专题	中国科学院数学与系统科学研究院
通讯作者	Yu, YX
作者单位	1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yu, YX,Wang, Q,Zhang, HQ. The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations[J]. CHAOS SOLITONS & FRACTALS,2005,26(5):1415-1421.
APA	Yu, YX,Wang, Q,&Zhang, HQ.(2005).The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations.CHAOS SOLITONS & FRACTALS,26(5),1415-1421.
MLA	Yu, YX,et al."The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations".CHAOS SOLITONS & FRACTALS 26.5(2005):1415-1421.