Localized solutions of extended discrete nonlinear schrödinger equation

We consider the extended discrete nonlinear SchrÄodinger (EDNLSE) equation which includes the nearest neighbor nonlinear interaction in addition to the on-site cubic and quintic nonlinearities. This equation describes nonlinear excitations in dipolar Bose-Einstein condensate in a periodic optical...

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Main Authors:	Umarov, Bakhram A., Ismail, Nazmi Hakim, Abdul Hadi, Muhammad Salihi, Hassan, Torla
Format:	Conference or Workshop Item
Language:	English English
Published:	Institute of Physics Publishing 2017
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/60318/ http://irep.iium.edu.my/60318/ http://irep.iium.edu.my/60318/ http://irep.iium.edu.my/60318/8/60318_Localized%20solutions%20of%20extended_complete_new.pdf http://irep.iium.edu.my/60318/9/60318_Localized%20solutions%20of%20extended_scopus.pdf

id	iium-60318
recordtype	eprints
spelling	iium-603182018-07-10T09:18:14Z http://irep.iium.edu.my/60318/ Localized solutions of extended discrete nonlinear schrödinger equation Umarov, Bakhram A. Ismail, Nazmi Hakim Abdul Hadi, Muhammad Salihi Hassan, Torla QA Mathematics QC Physics We consider the extended discrete nonlinear SchrÄodinger (EDNLSE) equation which includes the nearest neighbor nonlinear interaction in addition to the on-site cubic and quintic nonlinearities. This equation describes nonlinear excitations in dipolar Bose-Einstein condensate in a periodic optical lattice. We are particularly interested with the existence and stability conditions of localized nonlinear excitations of di®erent types. The problem is tackled numerically, by application of Newton methods and by solving the eigenvalue problem for linearized system near the exact solution. Also the modulational instability of plane wave solution is discussed. Institute of Physics Publishing 2017 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/60318/8/60318_Localized%20solutions%20of%20extended_complete_new.pdf application/pdf en http://irep.iium.edu.my/60318/9/60318_Localized%20solutions%20of%20extended_scopus.pdf Umarov, Bakhram A. and Ismail, Nazmi Hakim and Abdul Hadi, Muhammad Salihi and Hassan, Torla (2017) Localized solutions of extended discrete nonlinear schrödinger equation. In: 1st International Conference on Applied and Industrial Mathematics and Statistics 2017, ICoAIMS 2017, 8-10 August 2017, Vistana City CentreKuantan. http://iopscience.iop.org/journal/1742-6596 10.1088/1742-6596/890/1/012072
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 Umarov, Bakhram A. Ismail, Nazmi Hakim Abdul Hadi, Muhammad Salihi Hassan, Torla Localized solutions of extended discrete nonlinear schrödinger equation
description	We consider the extended discrete nonlinear SchrÄodinger (EDNLSE) equation which includes the nearest neighbor nonlinear interaction in addition to the on-site cubic and quintic nonlinearities. This equation describes nonlinear excitations in dipolar Bose-Einstein condensate in a periodic optical lattice. We are particularly interested with the existence and stability conditions of localized nonlinear excitations of di®erent types. The problem is tackled numerically, by application of Newton methods and by solving the eigenvalue problem for linearized system near the exact solution. Also the modulational instability of plane wave solution is discussed.
format	Conference or Workshop Item
author	Umarov, Bakhram A. Ismail, Nazmi Hakim Abdul Hadi, Muhammad Salihi Hassan, Torla
author_facet	Umarov, Bakhram A. Ismail, Nazmi Hakim Abdul Hadi, Muhammad Salihi Hassan, Torla
author_sort	Umarov, Bakhram A.
title	Localized solutions of extended discrete nonlinear schrödinger equation
title_short	Localized solutions of extended discrete nonlinear schrödinger equation
title_full	Localized solutions of extended discrete nonlinear schrödinger equation
title_fullStr	Localized solutions of extended discrete nonlinear schrödinger equation
title_full_unstemmed	Localized solutions of extended discrete nonlinear schrödinger equation
title_sort	localized solutions of extended discrete nonlinear schrödinger equation
publisher	Institute of Physics Publishing
publishDate	2017
url	http://irep.iium.edu.my/60318/ http://irep.iium.edu.my/60318/ http://irep.iium.edu.my/60318/ http://irep.iium.edu.my/60318/8/60318_Localized%20solutions%20of%20extended_complete_new.pdf http://irep.iium.edu.my/60318/9/60318_Localized%20solutions%20of%20extended_scopus.pdf
first_indexed	2023-09-18T21:25:30Z
last_indexed	2023-09-18T21:25:30Z
_version_	1777412163926753280

Localized solutions of extended discrete nonlinear schrödinger equation

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