Quadratic-Argument Approach to Nonlinear Schrodinger Equation and Coupled Ones
文献类型：期刊论文
| 作者 | Xu, Xiaoping
|
| 刊名 | ACTA APPLICANDAE MATHEMATICAE
 |
| 出版日期 | 2010-05-01 |
| 卷号 | 110期号:2页码:749-769 |
| 关键词 | Nonlinear Schrodinger equation Coupled Exact solution Symmetry |
| ISSN号 | 0167-8019 |
| DOI | 10.1007/s10440-009-9472-y |
| 英文摘要 | The two-dimensional cubic nonlinear Schrodinger equation is used to describe the propagation of an intense laser beam through a medium with Kerr nonlinearity. The coupled two-dimensional cubic nonlinear Schrodinger equations are used to describe the interaction of electromagnetic waves with different polarizations in nonlinear optics. Mathematically, they are fundamental nonlinear partial differential equations of elliptic type. In this paper, we solve the above equations by imposing a quadratic condition on the related argument functions and using their symmetry transformations. More complete families of exact solutions of such type are obtained. Many of them are the periodic, quasi-periodic, aperiodic and singular solutions that may have practical significance. |
| 语种 | 英语 |
| WOS记录号 | WOS:000276510500015 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11171]  |
| 专题 | 数学所 |
| 通讯作者 | Xu, Xiaoping |
| 作者单位 | Chinese Acad Sci, Hua Loo Keng Math Lab, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Xiaoping. Quadratic-Argument Approach to Nonlinear Schrodinger Equation and Coupled Ones[J]. ACTA APPLICANDAE MATHEMATICAE,2010,110(2):749-769. |
| APA | Xu, Xiaoping.(2010).Quadratic-Argument Approach to Nonlinear Schrodinger Equation and Coupled Ones.ACTA APPLICANDAE MATHEMATICAE,110(2),749-769. |
| MLA | Xu, Xiaoping."Quadratic-Argument Approach to Nonlinear Schrodinger Equation and Coupled Ones".ACTA APPLICANDAE MATHEMATICAE 110.2(2010):749-769. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。