Fordy-Kulish models and spinor Bose-Einstein condensates
V. A. Atanasov, V. S. Gerdjikov, G. G. Grahovski, N. A. Kostov, (Institute for Nuclear Research, Nuclear Energy, BAS, Sofia, Bulgaria)
TL;DR
This paper investigates integrable three-component nonlinear Schrödinger models describing spinor Bose-Einstein condensates, deriving soliton solutions and exploring models related to symmetric spaces, advancing understanding of multi-component BEC dynamics.
Contribution
It introduces new integrable models for spinor BECs and derives explicit soliton solutions using inverse scattering and dressing methods.
Findings
Derived three types of soliton solutions.
Connected models to symmetric spaces C.I Sp(4)/U(2).
Enhanced understanding of multi-component BEC dynamics.
Abstract
A three-component nonlinear Schrodinger-type model which describes spinor Bose-Einstein condensate (BEC) is considered. This model is integrable by the inverse scattering method and using Zakharov-Shabat dressing method we obtain three types of soliton solutions. The multi-component nonlinear Schrodinger type models related to symmetric spaces C.I Sp(4)/U(2) is studied.
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