Some exact analytical solutions to the inhomogeneous higher-order nonlinear Schrodinger equation using symbolic computation

CSpace

	Some exact analytical solutions to the inhomogeneous higher-order nonlinear Schrodinger equation using symbolic computation
	Li, Biao ; Chen, Yong
	2006-10-01
发表期刊	ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN	0932-0784
卷号	61 期号:10-11 页码:509-518
摘要	In this paper, the generalized projective Riccati equation method is extended to investigate the inhomogeneous higher-order nonlinear Schrodinger (IHNLS) equation including not only the group velocity dispersion and self-phase-modulation, but also various higher-order effects, such as the third-order dispersion, self-steepening and self-frequency shift. With the help of symbolic computation, a broad class of analytical solutions of the IHNLS equation is presented, which include bright-like solitary wave solutions, dark-like solitary wave solutions, W-shaped solitary wave Solutions, combined bright-like and dark-like solitary wave solutions, and dispersion-managed solitary wave solutions. From our results, many previously known results about the IHNLS equation can be recovered by means of some suitable selections of the arbitrary functions and arbitrary constants. Furthermore, from the soliton management concept, the main soliton-like character of the exact analytical solutions is discussed and simulated by computer under different parameters conditions.
关键词	inhomogeneous higher-order nonlinear Schrodinger equation generalized projective Riccati equation method solitary wave solutions symbolic computation
语种	英语
WOS研究方向	Chemistry ; Physics
WOS类目	Chemistry, Physical ; Physics, Multidisciplinary
WOS记录号	WOS:000243375700001
出版者	VERLAG Z NATURFORSCH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2959
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Biao
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, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Biao,Chen, Yong. Some exact analytical solutions to the inhomogeneous higher-order nonlinear Schrodinger equation using symbolic computation[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2006,61(10-11):509-518.
APA	Li, Biao,&Chen, Yong.(2006).Some exact analytical solutions to the inhomogeneous higher-order nonlinear Schrodinger equation using symbolic computation.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,61(10-11),509-518.
MLA	Li, Biao,et al."Some exact analytical solutions to the inhomogeneous higher-order nonlinear Schrodinger equation using symbolic computation".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 61.10-11(2006):509-518.