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Proceedings Paper

Bose-Einstein condensates with F=1 and F=2: reductions and soliton interactions of multi-component NLS models
Author(s): V. S. Gerdjikov; N. A. Kostov; T. I. Valchev
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Paper 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.

Paper Details

Date Published: 12 November 2009
PDF: 10 pages
Proc. SPIE 7501, International Conference on Ultrafast and Nonlinear Optics 2009, 75010W (12 November 2009); doi: 10.1117/12.849184
Show Author Affiliations
V. S. Gerdjikov, Institute for Nuclear Research and Nuclear Energy (Bulgaria)
N. A. Kostov, Institute for Nuclear Research and Nuclear Energy (Bulgaria)
T. I. Valchev, Institute for Nuclear Research and Nuclear Energy (Bulgaria)


Published in SPIE Proceedings Vol. 7501:
International Conference on Ultrafast and Nonlinear Optics 2009

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