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
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Cited by in corpus (14)
- The scattering problem for a noncommutative nonlinear Schrödinger equation
- Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
- On nonlocal models of Kulish-Sklyanin type and generalized Fourier transforms
- Bose-Einstein condensates with F=1 and F=2. Reductions and soliton interactions of multi-component NLS models
- Multicomponent Fokas-Lenells equations on Hermitian symmetric spaces
- On reductions of soliton solutions of multi-component NLS models and spinor Bose-Einstein condensates
- Dynamics of a Pair of Overlapping Polar Bright Solitons in Spin-1 Bose-Einstein Condensates
- Adiabatic Interactions of Manakov Solitons -- Effects of Cross-modulation
- Dressing method and quadratic bundles related to symmetric spaces. Vanishing boundary conditions
- NLS-type equations from quadratic pencil of Lax operators: negative flows
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- Z_2-reductions of spinor models in two dimensions
- One-Dimensional Integrable Spinor BECs Mapped to Matrix Nonlinear Schrödinger Equation and Solution of Bogoliubov Equation in These Systems
- Bose-Einstein Condensates and spectral properties of multicomponent nonlinear Schrodinger equations