A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation
文献类型：期刊论文
| 作者 | Li, Biao1,3; Chen, Yong1,2; Li, Yu-Qi1,3 |
| 刊名 | ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
 |
| 出版日期 | 2008-12-01 |
| 卷号 | 63期号:12页码:763-777 |
| 关键词 | Inhomogeneous High-Order NLS Equation Elliptic Function Solutions Solitary Wave Solutions |
| ISSN号 | 0932-0784 |
| 英文摘要 | On the basis of symbolic computation a generalized sub-equation expansion method is presented for constructing sonic exact analytical solutions of nonlinear partial differential equations. To illustrate the validity of the method, we investigate the exact analytical solutions of the inhomogeneous high-order nonlinear Schrodinger equation (IHNLSE) including not only the group velocity dispersion, self-phase-modulation, but also various high-order effects, such as the third-order dispersion, self-steepening and self-frequency shift. As a result, a broad class of exact analytical solutions of the IHNLSE are obtained. From our results, many previous solutions of some nonlinear Schrodinger-type equations can be recovered by means of suitable selections of the arbitrary functions and arbitrary constants. With the aid of computer simulation, the abundant structure of bright and dark solitary wave solutions, combined-type solitary wave solutions, dispersion-managed solitary wave solutions, Jacobi elliptic function solutions and Weierstrass elliptic function solutions are shown by some figures. |
| 资助项目 | NSF of China[10747141] ; NSF of China[10735030] ; Zhejiang Provincial NSF of China[605408] ; Ningbo NSF[2007A610049] ; Ningbo NSF[2006A610093] ; Ningbo University |
| WOS研究方向 | Chemistry ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000263552600004 |
| 出版者 | VERLAG Z NATURFORSCH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5597]  |
| 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, Ctr Nonlinear Sci, Ningbo 315211, Zhejiang, Peoples R China 2.E China Normal Univ, Inst Theoret Comp, Shanghai 200062, 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,Li, Yu-Qi. A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2008,63(12):763-777. |
| APA | Li, Biao,Chen, Yong,&Li, Yu-Qi.(2008).A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,63(12),763-777. |
| MLA | Li, Biao,et al."A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 63.12(2008):763-777. |
入库方式： OAI收割
来源：数学与系统科学研究院
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