An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrodinger equation model

doi:10.1016/j.nahs.2006.04.008

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	An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrodinger equation model
	Chen, Yong 1,3; Li, Biao 2,3
	2008-06-01
发表期刊	NONLINEAR ANALYSIS-HYBRID SYSTEMS
ISSN	1751-570X
卷号	2 期号:2 页码:242-255
摘要	To construct exact analytical solutions of nonlinear evolution equations, an extended subequation rational expansion method is presented and used to construct solutions of the nonlinear Schrodinger equation with varing dispersion, nonlinearity, and gain or absorption. As a result, many previous known results of the nonlinear Schrodinger equation can be recovered by means of some suitable selections of the arbitrary functions and arbitrary constants. With computer simulation, the properties of a new non-travelling wave soliton-like solutions with coefficient functions and some elliptic function solutions are shown by some figures. (c) 2008 Published by Elsevier Ltd
关键词	Subequation rational expansion method Schrodinger equation Like-solitons Like-periodic function solution
DOI	10.1016/j.nahs.2006.04.008
语种	英语
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000208596600004
出版者	ELSEVIER SCI 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/5381
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.E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China 2.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China 3.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yong,Li, Biao. An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrodinger equation model[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS,2008,2(2):242-255.
APA	Chen, Yong,&Li, Biao.(2008).An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrodinger equation model.NONLINEAR ANALYSIS-HYBRID SYSTEMS,2(2),242-255.
MLA	Chen, Yong,et al."An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrodinger equation model".NONLINEAR ANALYSIS-HYBRID SYSTEMS 2.2(2008):242-255.