中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Exact soliton solutions to an averaged dispersion-managed fiber system equation

文献类型:期刊论文

作者Li, B
刊名ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
出版日期2004-12-01
卷号59期号:12页码:919-926
关键词nonlinear Schrodinger equation dispersion-managed solitons soliton propagation solitons interaction symbolic computation
ISSN号0932-0784
英文摘要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.
语种英语
WOS记录号WOS:000227184700005
出版者VERLAG Z NATURFORSCH
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/19660]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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