Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit

The existence of dark strongly localized modes of binary discrete media with cubic-quintic nonlinearity is numerically demonstrated by solving the relevant discrete nonlinear Schrödinger equations. In the model, the coupling coefficients between adjacent sites are set to be relatively small represen...

Full description

Bibliographic Details
Main Authors:	Abdul Taib, Luckman, Abdul Hadi, Muhammad Salihi, Umarov, Bakhram A.
Format:	Conference or Workshop Item
Language:	English English
Published:	IOP 2018
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/61634/ http://irep.iium.edu.my/61634/ http://irep.iium.edu.my/61634/ http://irep.iium.edu.my/61634/7/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete.pdf http://irep.iium.edu.my/61634/8/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete%20media-SCOPUS.pdf

id	iium-61634
recordtype	eprints
spelling	iium-616342018-06-26T07:03:13Z http://irep.iium.edu.my/61634/ Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit Abdul Taib, Luckman Abdul Hadi, Muhammad Salihi Umarov, Bakhram A. QA Mathematics QC Physics The existence of dark strongly localized modes of binary discrete media with cubic-quintic nonlinearity is numerically demonstrated by solving the relevant discrete nonlinear Schrödinger equations. In the model, the coupling coefficients between adjacent sites are set to be relatively small representing the anti-continuum limit. In addition, approximated analytical solutions for vectorial solitons with various topologies are derived. Stability analysis of the localized states was performed using the standard linearized eigenfrequency problem. The prediction from the stability analysis are furthermore verified by direct numerical integrations. IOP 2018-01-02 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/61634/7/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete.pdf application/pdf en http://irep.iium.edu.my/61634/8/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete%20media-SCOPUS.pdf Abdul Taib, Luckman and Abdul Hadi, Muhammad Salihi and Umarov, Bakhram A. (2018) Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit. In: 4th International Conference on Mathematical Applications in Engineering 2017 (ICMAE'17), 8th–9th of August 2017, Kuala Lumpur, Malaysia. http://iopscience.iop.org/article/10.1088/1742-6596/949/1/012013/pdf 10.1088/1742-6596/949/1/012013
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 Abdul Taib, Luckman Abdul Hadi, Muhammad Salihi Umarov, Bakhram A. Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit
description	The existence of dark strongly localized modes of binary discrete media with cubic-quintic nonlinearity is numerically demonstrated by solving the relevant discrete nonlinear Schrödinger equations. In the model, the coupling coefficients between adjacent sites are set to be relatively small representing the anti-continuum limit. In addition, approximated analytical solutions for vectorial solitons with various topologies are derived. Stability analysis of the localized states was performed using the standard linearized eigenfrequency problem. The prediction from the stability analysis are furthermore verified by direct numerical integrations.
format	Conference or Workshop Item
author	Abdul Taib, Luckman Abdul Hadi, Muhammad Salihi Umarov, Bakhram A.
author_facet	Abdul Taib, Luckman Abdul Hadi, Muhammad Salihi Umarov, Bakhram A.
author_sort	Abdul Taib, Luckman
title	Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit
title_short	Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit
title_full	Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit
title_fullStr	Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit
title_full_unstemmed	Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit
title_sort	strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit
publisher	IOP
publishDate	2018
url	http://irep.iium.edu.my/61634/ http://irep.iium.edu.my/61634/ http://irep.iium.edu.my/61634/ http://irep.iium.edu.my/61634/7/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete.pdf http://irep.iium.edu.my/61634/8/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete%20media-SCOPUS.pdf
first_indexed	2023-09-18T21:27:23Z
last_indexed	2023-09-18T21:27:23Z
_version_	1777412282294206464

Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit

Similar Items