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

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.

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Abstract

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.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	3938/61634
Uncontrolled Keywords:	Continuum limits, Coupling coefficient, Cubic-quintic nonlinearity, Dinger equation, Localized state, Numerical integrations, Stability analysis, Strongly localized modes
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences Kulliyyah of Science > Department of Physics
Depositing User:	Dr Bakhram Umarov
Date Deposited:	29 Jan 2018 11:58
Last Modified:	26 Jun 2018 15:03
URI:	http://irep.iium.edu.my/id/eprint/61634

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