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Exact stationary wave patterns in three coupled nonlinear Schrodinger/Gross-Pitaevskii equations
Yan, Zhenya1,2; Chow, K. W.3; Malomed, Boris A.3,4
2009-12-15
Source PublicationCHAOS SOLITONS & FRACTALS
ISSN0960-0779
Volume42Issue:5Pages:3013-3019
AbstractThe evolution of a Bose-Einstein condensate (BEC) with an internal degree of freedom, i.e., spinor BEC, is governed by a system of three coupled mean-field equations. The system admits the application of the inverse scattering transform and Hirota bilinear method under appropriate conditions, which makes it possible to generate exact analytical solutions relevant to physical applications. Here, we produce six families of exact periodic solutions, directly constructed in terms of Jacobi elliptic functions. Solitary-wave limit forms, obtained from these solutions in the long-wave limit, are presented too. (C) 2009 Published by Elsevier Ltd.
DOI10.1016/j.chaos.2009.04.043
Language英语
Funding ProjectNKBRP of China[2004CB318000] ; NNSF of China[60821002/F02] ; Research Grants Council of Hong Kong[HKU 7128/05E] ; Research Grants Council of Hong Kong[HKU 7118/07E]
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000269425200052
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/8178
Collection系统科学研究所
Corresponding AuthorYan, Zhenya
Affiliation1.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
2.Chinese Acad Sci, Int Ctr Mat Phys, Shenyang 110016, Peoples R China
3.Univ Hong Kong, Dept Mech Engn, Pokfulam, Hong Kong, Peoples R China
4.Tel Aviv Univ, Fac Engn, Sch Elect Engn, Dept Phys Elect, IL-69987 Tel Aviv, Israel
Recommended Citation
GB/T 7714
Yan, Zhenya,Chow, K. W.,Malomed, Boris A.. Exact stationary wave patterns in three coupled nonlinear Schrodinger/Gross-Pitaevskii equations[J]. CHAOS SOLITONS & FRACTALS,2009,42(5):3013-3019.
APA Yan, Zhenya,Chow, K. W.,&Malomed, Boris A..(2009).Exact stationary wave patterns in three coupled nonlinear Schrodinger/Gross-Pitaevskii equations.CHAOS SOLITONS & FRACTALS,42(5),3013-3019.
MLA Yan, Zhenya,et al."Exact stationary wave patterns in three coupled nonlinear Schrodinger/Gross-Pitaevskii equations".CHAOS SOLITONS & FRACTALS 42.5(2009):3013-3019.
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