Solutions of multi-component NLS models and spinor Bose-Einstein condensates
Exactly Solvable and Integrable Systems
2017-02-22 v1 Pattern Formation and Solitons
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.
Cite
@article{arxiv.0802.4398,
title = {Solutions of multi-component NLS models and spinor Bose-Einstein condensates},
author = {V. S. Gerdjikov and A. Kostov and T. I. Valchev},
journal= {arXiv preprint arXiv:0802.4398},
year = {2017}
}
Comments
12 pages, LaTeX, no figures, elsart style