Vector Nonlinear Waves in a Two-Component Bose–Einstein Condensate System

To show the properties and existence of vector nonlinear waves in a one-dimensional two-component Bose–Einstein condensate system, we investigate the pair-transition-coupled nonlinear Schrödinger equation. Through the two forms for Darboux transformations, we obtain a family of nonlinear wave soluti...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2020-12, Vol.89 (12), p.124003
Main Authors: Wang, Xiu-Bin, Han, Bo
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Schrodinger equation
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Summary:To show the properties and existence of vector nonlinear waves in a one-dimensional two-component Bose–Einstein condensate system, we investigate the pair-transition-coupled nonlinear Schrödinger equation. Through the two forms for Darboux transformations, we obtain a family of nonlinear wave solutions describing the extreme events. This family of solutions contains Akhmediev breather, Kuznetsov–Ma breather, famous vector rogue waves, bright-dark-rogue waves, beak-shaped rogue waves, and novel freak waves. Moreover, we successfully reveal different types of the distributions for the second-order vector rogue waves. Our results show that more abundant and novel localized waves may exist in the Bose–Einstein condensate system than in the Manakov system.
ISSN:0031-9015
1347-4073
DOI:10.7566/JPSJ.89.124003