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Zhao, Dun; Luo, Hong-Gang; Chai, Hua-Yue; Zhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Integrability of the Gross-Pitaevskii equation with Feshbach resonance management
Source PublicationPHYSICS LETTERS A
KeywordNonlinear Schrodinger-equation Bose-einstein Condensation Soliton Propagation Dark Solitons Lattice Media Dynamics Vortex Waves Model
AbstractIn 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.
2008
ISSN0375-9601
Volume372Issue:35Pages:5644-5650
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Natural Science Foundation[10205007] ; National Natural Science Foundation[10205007] ; National Natural Science Foundation[10205007] ; National Natural Science Foundation[10205007]
Citation statistics
Cited Times:42[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5478
CollectionSCI期刊论文
Corresponding AuthorZhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Recommended Citation
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.
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