Exact stationary wave patterns in three coupled nonlinear Schrodinger/Gross-Pitaevskii equations
Yan, Zhenya1,2; Chow, K. W.3; Malomed, Boris A.3,4
刊名CHAOS SOLITONS & FRACTALS
2009-12-15
卷号42期号:5页码:3013-3019
ISSN号0960-0779
DOI10.1016/j.chaos.2009.04.043
英文摘要The 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.
资助项目NKBRP 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研究方向Mathematics ; Physics
语种英语
出版者PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号WOS:000269425200052
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8177]  
专题系统科学研究所
通讯作者Yan, Zhenya
作者单位1.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
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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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