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Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method

Messikh, Azeddin and Umarov, Bakhram (2013) Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method. Journal of Physics: Conference Series, 435 (012026). 012026-1. ISSN 1742-6588 (P), 1742-6596 (O)

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Abstract

We use homoclinic orbits to find solutions of a dynamical system of the dipolar Bose Einstein Condensate (BEC) in a deep optical lattice. The equation of motion is transformed to a two-dimensional map and its homoclinic orbits are computed numerically. Each homoclinic orbit leads to a different solution. These different solutions lead to different types of solitons. We also analyse the stability of the solutions.

Item Type: Article (Journal)
Additional Information: 3897/30872
Uncontrolled Keywords: Quantum gases, liquids and solids Computational physics Statistical physics and nonlinear systems
Subjects: Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science
Depositing User: Dr Bakhram Umarov
Date Deposited: 06 Aug 2013 09:10
Last Modified: 06 Aug 2013 09:10
URI: http://irep.iium.edu.my/id/eprint/30872

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