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arXiv · 0802.4398

Solutions of multi-component NLS models and spinor Bose-Einstein condensates

V. S. Gerdjikov·A. Kostov·T. I. Valchev
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Abstract

A three- and five-component nonlinear Schrodinger-type models, which describe spinor Bose-Einstein condensates (BEC's) with hyperfine structures F=1 and F=2 respectively, are studied. These models for particular values of the coupling constants are integrable by the inverse scattering method. They are related to symmetric spaces of BD.I-type SO(2r+1)/(SO(2) x SO(2r-1)) for r=2 and r=3. Using conveniently modified Zakharov-Shabat dressing procedure we obtain different types of soliton solutions.

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V. S. Gerdjikov, A. Kostov, T. I. Valchev. 2008-02-29. Solutions of multi-component NLS models and spinor Bose-Einstein condensates. https://doi.org/10.1016/j.physd.2008.06.007

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