Solutions of multi-component NLS models and spinor Bose-Einstein condensates
arXiv:0802.4398 · doi:10.1016/j.physd.2008.06.007
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.
12 pages, LaTeX, no figures, elsart style
References in corpus (5)
Cited by in corpus (14)
- The scattering problem for a noncommutative nonlinear Schrödinger equation
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- On soliton solutions and soliton interactions of Kulish-Sklyanin and Hirota-Ohta systems
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- One-Dimensional Integrable Spinor BECs Mapped to Matrix Nonlinear Schrödinger Equation and Solution of Bogoliubov Equation in These Systems
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