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...

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Main Authors:	Messikh, Azeddin, Umarov, Bakhram
Format:	Conference or Workshop Item
Language:	English English
Published:	2012
Subjects:	QA Mathematics QC Physics
Online Access:	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

id	iium-27930
recordtype	eprints
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 Conference or Workshop Item 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/
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics QC Physics
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
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.
format	Conference or Workshop Item
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 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_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_sort	study of localized solutions of the nonlinear discrete model for dipolar bose-einstein condensate in an optical lattice by the homoclinic orbit method
publishDate	2012
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
first_indexed	2023-09-18T20:41:22Z
last_indexed	2023-09-18T20:41:22Z
_version_	1777409387476811776

Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method

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