Modulational instability in two-component discrete media with cubic-quintic nonlinearity

The effect of cubic-quintic nonlinearity and associated intercomponent couplings on the modulational instability �MI� of plane-wave solutions of the two-component discrete nonlinear Schrödinger �DNLS� equation is considered. Conditions for the onset of MI are revealed and the growth rate of small p...

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Main Authors:	Baizakov, Bakhtiyor B, Bouketir, Ahmed, Messikh, Azeddin, Umarov, Bakhram
Format:	Article
Language:	English
Published:	American Physical Society 2009
Subjects:	QC Physics
Online Access:	http://irep.iium.edu.my/11722/ http://irep.iium.edu.my/11722/ http://irep.iium.edu.my/11722/ http://irep.iium.edu.my/11722/1/2009_pre_79_046605.pdf

id	iium-11722
recordtype	eprints
spelling	iium-117222011-12-22T03:42:26Z http://irep.iium.edu.my/11722/ Modulational instability in two-component discrete media with cubic-quintic nonlinearity Baizakov, Bakhtiyor B Bouketir, Ahmed Messikh, Azeddin Umarov, Bakhram QC Physics The effect of cubic-quintic nonlinearity and associated intercomponent couplings on the modulational instability �MI� of plane-wave solutions of the two-component discrete nonlinear Schrödinger �DNLS� equation is considered. Conditions for the onset of MI are revealed and the growth rate of small perturbations is analytically derived. For the same set of initial parameters as equal amplitudes of plane waves and intercomponent coupling coefficients, the effect of quintic nonlinearity on MI is found to be essentially stronger than the effect of cubic nonlinearity. Analytical predictions are supported by numerical simulations of the underlying coupled cubic-quintic DNLS equation. Relevance of obtained results to dense Bose-Einstein condensates �BECs� in deep optical lattices, when three-body processes are essential, is discussed. In particular, the phase separation under the effect of MI in a two-component repulsive BEC loaded in a deep optical lattice is predicted and found in numerical simulations. Bimodal light propagation in waveguide arrays fabricated from optical materials with non-Kerr nonlinearity is discussed as another possible physical realization for the considered model. American Physical Society 2009-04-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/11722/1/2009_pre_79_046605.pdf Baizakov, Bakhtiyor B and Bouketir, Ahmed and Messikh, Azeddin and Umarov, Bakhram (2009) Modulational instability in two-component discrete media with cubic-quintic nonlinearity. Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 79 (4). 046605-1. ISSN 1539-3755 (P), 1550-2376 (O) http://pre.aps.org/pdf/PRE/v79/i4/e046605 10.1103/PhysRevE.79.046605
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 Baizakov, Bakhtiyor B Bouketir, Ahmed Messikh, Azeddin Umarov, Bakhram Modulational instability in two-component discrete media with cubic-quintic nonlinearity
description	The effect of cubic-quintic nonlinearity and associated intercomponent couplings on the modulational instability �MI� of plane-wave solutions of the two-component discrete nonlinear Schrödinger �DNLS� equation is considered. Conditions for the onset of MI are revealed and the growth rate of small perturbations is analytically derived. For the same set of initial parameters as equal amplitudes of plane waves and intercomponent coupling coefficients, the effect of quintic nonlinearity on MI is found to be essentially stronger than the effect of cubic nonlinearity. Analytical predictions are supported by numerical simulations of the underlying coupled cubic-quintic DNLS equation. Relevance of obtained results to dense Bose-Einstein condensates �BECs� in deep optical lattices, when three-body processes are essential, is discussed. In particular, the phase separation under the effect of MI in a two-component repulsive BEC loaded in a deep optical lattice is predicted and found in numerical simulations. Bimodal light propagation in waveguide arrays fabricated from optical materials with non-Kerr nonlinearity is discussed as another possible physical realization for the considered model.
format	Article
author	Baizakov, Bakhtiyor B Bouketir, Ahmed Messikh, Azeddin Umarov, Bakhram
author_facet	Baizakov, Bakhtiyor B Bouketir, Ahmed Messikh, Azeddin Umarov, Bakhram
author_sort	Baizakov, Bakhtiyor B
title	Modulational instability in two-component discrete media with cubic-quintic nonlinearity
title_short	Modulational instability in two-component discrete media with cubic-quintic nonlinearity
title_full	Modulational instability in two-component discrete media with cubic-quintic nonlinearity
title_fullStr	Modulational instability in two-component discrete media with cubic-quintic nonlinearity
title_full_unstemmed	Modulational instability in two-component discrete media with cubic-quintic nonlinearity
title_sort	modulational instability in two-component discrete media with cubic-quintic nonlinearity
publisher	American Physical Society
publishDate	2009
url	http://irep.iium.edu.my/11722/ http://irep.iium.edu.my/11722/ http://irep.iium.edu.my/11722/ http://irep.iium.edu.my/11722/1/2009_pre_79_046605.pdf
first_indexed	2023-09-18T20:21:01Z
last_indexed	2023-09-18T20:21:01Z
_version_	1777408106705190912

Modulational instability in two-component discrete media with cubic-quintic nonlinearity

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