Solutions of multi-component NLS models and Spinor Bose-Einstein condensates
Gerdjikov V.S., Nikolay A. Kostov, Valchev T.I.
Three- and five-component nonlinear Schrödinger-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) × SO(2r -1) for r = 2 and r = 3. Using conveniently modified Zakharov-Shabat dressing procedure we obtain different types of soliton solutions. © 2008 Elsevier B.V. All rights reserved.
•Jul 14, 2009•0 citations