Exact soliton solutions to an averaged dispersion-managed fiber system equation

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	Exact soliton solutions to an averaged dispersion-managed fiber system equation
	Li, B
	2004-12-01
发表期刊	ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN	0932-0784
卷号	59 期号:12 页码:919-926
摘要	By introducing a set of ordinary differential equations which possess q-deformed hyperbolic function solutions, and a new ansatz, a method is developed for constructing a series of exact analytical solutions of some nonlinear evolution equations. The proposed method is more powerful than various tanh methods, the sec(q)-tanh(q)-method, generalized hyperbolic-function method, generalized Riccati equation expansion method, generalized projective Riccati equations method and other sophisticated methods. As an application of the method, an averaged dispersion-managed (DM) fiber system equation, which governs the dynamics of the core of the DM soliton, is chosen to illustrate the method. With the help of symbolic computation, rich new soliton solutions are obtained. From these solutions, some previously known solutions obtained by some authors can be recovered by means of some suitable choices of the arbitrary functions and arbitrary constants. Further, the soliton propagation and solitons interaction scenario are discussed and simulated by computer.
关键词	nonlinear Schrodinger equation dispersion-managed solitons soliton propagation solitons interaction 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:000227184700005
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/19661
专题	中国科学院数学与系统科学研究院
通讯作者	Li, B
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	Li, B. Exact soliton solutions to an averaged dispersion-managed fiber system equation[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2004,59(12):919-926.
APA	Li, B.(2004).Exact soliton solutions to an averaged dispersion-managed fiber system equation.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,59(12),919-926.
MLA	Li, B."Exact soliton solutions to an averaged dispersion-managed fiber system equation".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 59.12(2004):919-926.