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

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 for r=2 and r=3. Using conveniently modified Zakharov-Shabat dressing procedure we obtain different types of soliton solutions.