Engineering integrable nonautonomous nonlinear Schrodinger equations
文献类型：期刊论文
| 作者 | He, Xu-Gang; Zhao, Dun; Li, Lin; Luo, Hong-Gang; He, XG , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China |
| 刊名 | PHYSICAL REVIEW E
 |
| 出版日期 | 2009 |
| 卷号 | 79期号:5页码:- |
| 关键词 | Partial-differential Equations Dispersion Management Evolution-equations Varying Dispersion Painleve Property Soliton-solutions Optical-soliton Dynamics Model Waves |
| ISSN号 | 1539-3755 |
| 英文摘要 | We investigate Painleve integrability of a generalized nonautonomous one-dimensional nonlinear Schrodinger (NLS) equation with time- and space-dependent dispersion, nonlinearity, and external potentials. Through the Painleve analysis some explicit requirements on the dispersion, nonlinearity, dissipation/gain, and the external potential as well as the constraint conditions are identified. It provides an explicit way to engineer integrable nonautonomous NLS equations at least in the sense of Painleve integrability. Furthermore analytical solutions of this class of integrable nonautonomous NLS equations can be obtained explicitly from the solutions of the standard NLS equation by a general transformation. The result provides a significant way to control coherently the soliton dynamics in the corresponding nonlinear systems, as that in Bose-Einstein condensate experiments. We analyze explicitly the soliton dynamics under the nonlinearity management and the external potentials and discuss its application in the matter-wave dynamics. Some comparisons with the previous works have also been discussed. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000266500800077 |
| 公开日期 | 2012-08-02 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/5335]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | He, XG , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China |
| 推荐引用方式 GB/T 7714 | He, Xu-Gang,Zhao, Dun,Li, Lin,et al. Engineering integrable nonautonomous nonlinear Schrodinger equations[J]. PHYSICAL REVIEW E,2009,79(5):-. |
| APA | He, Xu-Gang,Zhao, Dun,Li, Lin,Luo, Hong-Gang,&He, XG , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China.(2009).Engineering integrable nonautonomous nonlinear Schrodinger equations.PHYSICAL REVIEW E,79(5),-. |
| MLA | He, Xu-Gang,et al."Engineering integrable nonautonomous nonlinear Schrodinger equations".PHYSICAL REVIEW E 79.5(2009):-. |
入库方式： OAI收割
来源：理论物理研究所
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