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

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

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 s...

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Main Authors: Messikh, Azeddin, Umarov, Bakhram
Format: Article
Language:English
Published: Institute of Physics Publishing (UK) 2013
Subjects:
QC Physics
Online Access:http://irep.iium.edu.my/30872/
http://irep.iium.edu.my/30872/
http://irep.iium.edu.my/30872/
http://irep.iium.edu.my/30872/1/Study_of_Localized_Solutions_of_the_Nonlinear_Discrete_Model_for_Dipolar_BEC.pdf
id iium-30872
recordtype eprints
spelling iium-308722013-08-06T01:10:04Z http://irep.iium.edu.my/30872/ Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method Messikh, Azeddin Umarov, Bakhram QC Physics 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. Institute of Physics Publishing (UK) 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/30872/1/Study_of_Localized_Solutions_of_the_Nonlinear_Discrete_Model_for_Dipolar_BEC.pdf 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) http://iopscience.iop.org/1742-6596/435/1/012026 10.1088/1742-6596/435/1/012026
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QC Physics
spellingShingle QC Physics
Messikh, Azeddin
Umarov, Bakhram
Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method
description 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.
format Article
author Messikh, Azeddin
Umarov, Bakhram
author_facet Messikh, Azeddin
Umarov, Bakhram
author_sort Messikh, Azeddin
title Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method
title_short Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method
title_full Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method
title_fullStr Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method
title_full_unstemmed Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method
title_sort study of localized solutions of the nonlinear discrete model for dipolar bec in an optical lattice by the homoclinic orbit method
publisher Institute of Physics Publishing (UK)
publishDate 2013
url http://irep.iium.edu.my/30872/
http://irep.iium.edu.my/30872/
http://irep.iium.edu.my/30872/
http://irep.iium.edu.my/30872/1/Study_of_Localized_Solutions_of_the_Nonlinear_Discrete_Model_for_Dipolar_BEC.pdf
first_indexed 2023-09-18T20:45:06Z
last_indexed 2023-09-18T20:45:06Z
_version_ 1777409622798237696

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