Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross–Pitaevskii equations |
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| Authors: | Zhenya Yan KW Chow Boris A Malomed |
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| Institution: | aKey Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100080, China;bInternational Centre for Materials Physics, Chinese Academy of Sciences, Shenyang 110016, China;cDepartment of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong;dDepartment of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69987, Israel |
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| Abstract: | 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. |
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