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

V. S. Gerdjikov; N. A. Kostov; T. I. Valchev

doi:10.1117/12.849184

11 November 2009 Bose-Einstein condensates with F=1 and F=2: reductions and soliton interactions of multi-component NLS models

V. S. Gerdjikov, N. A. Kostov, T. I. Valchev

Author Affiliations +

Proceedings Volume 7501, International Conference on Ultrafast and Nonlinear Optics 2009; 75010W (2009) https://doi.org/10.1117/12.849184
Event: Ultrafast Nonlinear Optics 2009, 2009, Bourgas, Bulgaria

Abstract

We analyze a class of multicomponent nonlinear Schrödinger 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.

Citation Download Citation

V. S. Gerdjikov, N. A. Kostov, and T. I. Valchev "Bose-Einstein condensates with F=1 and F=2: reductions and soliton interactions of multi-component NLS models", Proc. SPIE 7501, International Conference on Ultrafast and Nonlinear Optics 2009, 75010W (11 November 2009); https://doi.org/10.1117/12.849184

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