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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