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arXiv:0802.4398 · Physica D Nonlinear Phenomena

Solutions of multi-component NLS models and Spinor Bose–Einstein condensates

Vladimir Stefanov Gerdjikov, Nikolay A. Kostov, Tihomir Valchev

Published Jul 3, 2008• 47 citations
arXivHTMLPDF
DOI
10.1016/j.physd.2008.06.007

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Solutions of multi-component NLS models and Spinor Bose-Einstein condensates

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

Three- and five-component nonlinear Schrödinger-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) × SO(2r -1) for r = 2 and r = 3. Using conveniently modified Zakharov-Shabat dressing procedure we obtain different types of soliton solutions. © 2008 Elsevier B.V. All rights reserved.

•Jul 14, 2009•0 citations
Three- and five-component nonlinear Schrödinger-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) × SO(2r -1) for r = 2 and r = 3. Using conveniently modified Zakharov-Shabat dressing procedure we obtain different types of soliton solutions. © 2008 Elsevier B.V. All rights reserved.