Transformation from the nonautonomous to standard NLS equations
文献类型：期刊论文
| 作者 | Zhao, D.; He, X. -G.; Luo, H. -G.; Zhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China |
| 刊名 | EUROPEAN PHYSICAL JOURNAL D
 |
| 出版日期 | 2009 |
| 卷号 | 53期号:2页码:213-216 |
| 关键词 | Nonlinear Schrodinger-equations Solitons Transmission Dispersion Fibers Dark |
| ISSN号 | 1434-6060 |
| 英文摘要 | In this paper we show a systematical method to obtain exact solutions of the nonautonomous nonlinear Schrodinger (NLS) equation. An integrable condition is first obtained by the Painlev, analysis, which is shown to be consistent with that obtained by the Lax pair method. Under this condition, we present a general transformation, which can directly convert all allowed exact solutions of the standard NLS equation into the corresponding exact solutions of the nonautonomous NLS equation. The method is quite powerful since the standard NLS equation has been well studied in the past decades and its exact solutions are vast in the literature. The result provides an effective way to control the soliton dynamics. Finally, the fundamental bright and dark solitons are taken as examples to demonstrate its explicit applications. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000266477400014 |
| 公开日期 | 2012-08-02 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/5310]  |
| 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 | Zhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, D.,He, X. -G.,Luo, H. -G.,et al. Transformation from the nonautonomous to standard NLS equations[J]. EUROPEAN PHYSICAL JOURNAL D,2009,53(2):213-216. |
| APA | Zhao, D.,He, X. -G.,Luo, H. -G.,&Zhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China.(2009).Transformation from the nonautonomous to standard NLS equations.EUROPEAN PHYSICAL JOURNAL D,53(2),213-216. |
| MLA | Zhao, D.,et al."Transformation from the nonautonomous to standard NLS equations".EUROPEAN PHYSICAL JOURNAL D 53.2(2009):213-216. |
入库方式： OAI收割
来源：理论物理研究所
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