The extension of the Jacobi elliptic function rational expansion method

doi:10.1016/j.cnsns.2005.05.009

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	The extension of the Jacobi elliptic function rational expansion method
	Yu, Yaxuan 1; Wang, Qi 1,2; Zhang, Hongqing 1,2
	2007-08-01
发表期刊	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN	1007-5704
卷号	12 期号:5 页码:702-713
摘要	Using a new ansatz, we extend the Jacobi elliptic function rational expansion method and apply it to the asymmetric Nizhnik-Novikov-Veselov equations and the Davey-Stewartson equations. With the aid of symbolic computation, we construct more new Jacobi elliptic doubly periodic wave solutions and the corresponding solitary wave solutions and triangular functional (singly periodic) solutions. (C) 2005 Elsevier B.V. All rights reserved.
关键词	Jacobi elliptic functions Nonlinear evolution equations Travelling wave solution Jacobi elliptic function rational expansion method
DOI	10.1016/j.cnsns.2005.05.009
语种	英语
资助项目	National Key Basic Research Project of China[2004CB318000]
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000208278200009
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5217
专题	中国科学院数学与系统科学研究院
通讯作者	Yu, Yaxuan
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, Yaxuan,Wang, Qi,Zhang, Hongqing. The extension of the Jacobi elliptic function rational expansion method[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2007,12(5):702-713.
APA	Yu, Yaxuan,Wang, Qi,&Zhang, Hongqing.(2007).The extension of the Jacobi elliptic function rational expansion method.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,12(5),702-713.
MLA	Yu, Yaxuan,et al."The extension of the Jacobi elliptic function rational expansion method".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 12.5(2007):702-713.