On reductions of soliton solutions of multi-component NLS models and spinor Bose-Einstein condensates

Abstract

We consider a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces. As important particular case of these MNLS we obtain the Kulish-Sklyanin model. Some new reductions and their effects on the soliton solutions are obtained by proper modifying the Zakahrov-Shabat dressing method.

AIP AMiTaNS'09 Proceedings,

References in corpus (3)

• Bright-Dark Soliton Complexes in Spinor Bose-Einstein Condensates
• Solutions of multi-component NLS models and spinor Bose-Einstein condensates
• Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type

Cited by in corpus (4)

• 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 nonlocal reductions of the multi-component nonlinear Schrodinger equation on symmetric spaces
• Bose-Einstein Condensates and spectral properties of multicomponent nonlinear Schrodinger equations