A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations

doi:10.1016/j.amc.2005.11.018

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	A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations
	Chen, Yong ; Wang, Qi
	2006-06-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	177 期号:1 页码:396-409
摘要	A unified basic frame of rational expansion methods is presented, which leads to closed-form solutions of nonlinear evolution equations (NLEEs). The new unified algorithms are given to find exact rational formal polynomial solutions of NLEEs in terms of Jacobi elliptic functions, solutions of the Riccati equation and solutions of the generalized Riccati equation. They can be implemented in symbolic computation system Maple. As applications of the methods, we choose some physical significance NLEEs to illustrate the methods. As, a consequence, we not only can successfully obtain the solutions found by most existing Jacobi elliptic function methods and tanh methods, but also find other new and more general solutions at the same time. (c) 2005 Elsevier Inc. All rights reserved.
关键词	symbolic computation exact solutions nonlinear evolution equations Jacobi elliptic function rational expansion method Riccati equation rational expansion method
DOI	10.1016/j.amc.2005.11.018
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000238935900040
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/3234
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Yong
作者单位	1.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China 2.Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China 3.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 4.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yong,Wang, Qi. A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,177(1):396-409.
APA	Chen, Yong,&Wang, Qi.(2006).A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations.APPLIED MATHEMATICS AND COMPUTATION,177(1),396-409.
MLA	Chen, Yong,et al."A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations".APPLIED MATHEMATICS AND COMPUTATION 177.1(2006):396-409.