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Localized solutions of extended discrete nonlinear schrödinger equation

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.

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Abstract

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.

Item Type: Conference or Workshop Item (Plenary Papers)
Additional Information: 3938/60318
Uncontrolled Keywords: Localized solutions; Extended discrete; Nonlinear schrödinger equation
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Physics
Depositing User: Dr Bakhram Umarov
Date Deposited: 22 Dec 2017 05:12
Last Modified: 22 Dec 2017 05:14
URI: http://irep.iium.edu.my/id/eprint/60318

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