Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management

Abdul Hadi, Muhammad Salihi and Umarov, Bakhram A. and Abdullaev, Fatkhulla Kh. and M, Salerno (2016) Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management. In: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE’14), 23rd-25th November 2015, Kuala Lumpur, Malaysia.

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Abstract

The existence of dark compacton solution of discrete nonlinear Schrödinger (DNLS) equation with strong nonlinearity management (SNLM) is investigated. The stability analysis was carry out using standard linearization stability procedure.Even though the stability regime is not so wide but evidently some stable dark compactons can exist in the SNLM DNLS system. Surprisingly, even within the confirmed stability regime from the analysis, the time evolution of the dark compacton solution exhibits small bounded ripples.

Item Type:	Conference or Workshop Item (Invited Papers)
Additional Information:	4282/51974
Uncontrolled Keywords:	Dark compactons, discrete nonlinear Schrödinger equation, strong nonlinearity management
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 Physics
Depositing User:	Dr Bakhram Umarov
Date Deposited:	22 Sep 2016 09:55
Last Modified:	03 Oct 2017 15:32
URI:	http://irep.iium.edu.my/id/eprint/51974

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