Integrability of the Gross-Pitaevskii equation with Feshbach resonance management
文献类型：期刊论文
| 作者 | Zhao, Dun; Luo, Hong-Gang; Chai, Hua-Yue; Zhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China |
| 刊名 | PHYSICS LETTERS A
 |
| 出版日期 | 2008 |
| 卷号 | 372期号:35页码:5644-5650 |
| 关键词 | Nonlinear Schrodinger-equation Bose-einstein Condensation Soliton Propagation Dark Solitons Lattice Media Dynamics Vortex Waves Model |
| ISSN号 | 0375-9601 |
| 英文摘要 | In this Letter we study the integrability of a class of Gross-Pitaevskii equations managed by Feshbach resonance in an expulsive parabolic external potential. By using WTC test, we find a condition under which the Gross-Pitaevskii equation is completely integrable. Under the present model, this integrability condition is completely consistent with that proposed by Serkin, Hasegawa, and Belyaeva [V.N. Serkin, A. Hasegawa, T.L Belyaeva, Phys. Rev. Lett. 98 (2007) 074102]. Furthermore, this integrability can also be explicitly shown by a transformation, which can convert the Gross-Pitaevskii equation into the well-known standard nonlinear Schrodinger equation. By this transformation, each exact solution of the standard nonlinear Schrodinger equation can be converted into that of the Gross-Pitaevskii equation, which builds a systematical connection between the canonical solitons and the so-called nonautonomous ones. The finding of this transformation has a significant contribution to understanding the essential properties of the nonautonomous solitons and the dynamics of the Bose-Einstein condensates by using the Feshbach resonance technique. (C) 2008 Elsevier B.V. All rights reserved. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000259311600004 |
| 公开日期 | 2012-08-02 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/5478]  |
| 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, Dun,Luo, Hong-Gang,Chai, Hua-Yue,et al. Integrability of the Gross-Pitaevskii equation with Feshbach resonance management[J]. PHYSICS LETTERS A,2008,372(35):5644-5650. |
| APA | Zhao, Dun,Luo, Hong-Gang,Chai, Hua-Yue,&Zhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China.(2008).Integrability of the Gross-Pitaevskii equation with Feshbach resonance management.PHYSICS LETTERS A,372(35),5644-5650. |
| MLA | Zhao, Dun,et al."Integrability of the Gross-Pitaevskii equation with Feshbach resonance management".PHYSICS LETTERS A 372.35(2008):5644-5650. |
入库方式： OAI收割
来源：理论物理研究所
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