Bose-Einstein condensates with F=1 and F=2. Reductions and soliton interactions of multi-component NLS models

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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SPIE UNO-09-UN101-19, SPIE Volume: 7501, (2009)

Scientific paper

We analyze a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces and their reductions. We briefly outline the direct and the inverse scattering method for the relevant Lax operators and the soliton solutions. We use the Zakharov-Shabat dressing method to obtain the two-soliton solution and analyze the soliton interactions of the MNLS equations and some of their reductions.

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