Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method
It is well known that the dynamics of the Bose Einstein condensate (BEC) trapped in an optical lattice can be described in tight-binding approximation by the discrete Nonlinear Schrödinger Equation (DNLSE) [1,2]. This model opens the way to study different aspects of the BEC dynamics in an optical l...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English |
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2012
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| Online Access: | http://irep.iium.edu.my/27930/ http://irep.iium.edu.my/27930/1/Study_of_Localized_Solutions-iCAST_2012.pdf http://irep.iium.edu.my/27930/3/study_of_localized_solution_of_the_nonlinear.pdf |
| _version_ | 1848779892611612672 |
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| author | Messikh, Azeddin Umarov, Bakhram |
| author_facet | Messikh, Azeddin Umarov, Bakhram |
| author_sort | Messikh, Azeddin |
| building | IIUM Repository |
| collection | Online Access |
| description | It is well known that the dynamics of the Bose Einstein condensate (BEC) trapped in an optical lattice can be described in tight-binding approximation by the discrete Nonlinear Schrödinger Equation (DNLSE) [1,2]. This model opens the way to study different aspects of the BEC dynamics in an optical lattice, such as discrete solitons and nonlinear localized modes and their stability and dynamics, modulational instability, superfluid-insulator transition, etc. |
| first_indexed | 2025-11-14T15:25:00Z |
| format | Proceeding Paper |
| id | iium-27930 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T15:25:00Z |
| publishDate | 2012 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-279302013-02-13T22:22:24Z http://irep.iium.edu.my/27930/ Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method Messikh, Azeddin Umarov, Bakhram QA Mathematics QC Physics It is well known that the dynamics of the Bose Einstein condensate (BEC) trapped in an optical lattice can be described in tight-binding approximation by the discrete Nonlinear Schrödinger Equation (DNLSE) [1,2]. This model opens the way to study different aspects of the BEC dynamics in an optical lattice, such as discrete solitons and nonlinear localized modes and their stability and dynamics, modulational instability, superfluid-insulator transition, etc. 2012-11-10 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/27930/1/Study_of_Localized_Solutions-iCAST_2012.pdf application/pdf en http://irep.iium.edu.my/27930/3/study_of_localized_solution_of_the_nonlinear.pdf Messikh, Azeddin and Umarov, Bakhram (2012) Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method. In: International Conference of Application Science & Technology (iCAST2012), 7-10 November 2012, Kuantan, Pahang. http://iium.edu.my/icast/2012/ |
| spellingShingle | QA Mathematics QC Physics Messikh, Azeddin Umarov, Bakhram Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method |
| title | Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method |
| title_full | Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method |
| title_fullStr | Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method |
| title_full_unstemmed | Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method |
| title_short | Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method |
| title_sort | study of localized solutions of the nonlinear discrete model for dipolar bose-einstein condensate in an optical lattice by the homoclinic orbit method |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/27930/ http://irep.iium.edu.my/27930/ http://irep.iium.edu.my/27930/1/Study_of_Localized_Solutions-iCAST_2012.pdf http://irep.iium.edu.my/27930/3/study_of_localized_solution_of_the_nonlinear.pdf |