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

Gerdjikov, V. S.; Kostov, A.; Valchev, T. I.

doi:10.1016/j.physd.2008.06.007

arXiv 2008-02-29 DOI 10.1016/j.physd.2008.06.007 0 views

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

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

Exactly Solvable and Integrable Systems Pattern Formation and Solitons

Original · EN

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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