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Plane wave solution of extended discrete nonlinear Schrödinger equation

Ismail, Nazmi Hakim and Umarov, Bakhram and Abdul Hadi, Muhammad Salihi and Mohd Busul Aklan, Nor Amirah and Mat Din, Muhammad Azid (2020) Plane wave solution of extended discrete nonlinear Schrödinger equation. Malaysian Journal of Fundamental and Applied Sciences, 16 (5). pp. 505-507. ISSN 2289-5981 E-ISSN 2289-599X

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In this paper, we considered the extended discrete nonlinear Schrödinger equation (EDNLSE) which includes the nearest neighbour nonlinear interaction in addition to the on-site cubic and quintic nonlinearities. The objective of this study is to investigate the modulational instability of plane matterwave solution in dipolar Bose-Einstein Condensates (BEC) in a periodic optical lattice and to compare the analytical results with numerical. Analytically, the problem is solved by using perturbed solution of the plane wave where the instability of the gain can be obtained. The conditions of the stability of the plane wave had been analysed and confirmed numerically, by applications of Runge- Kutta method. Three specific cases were studied where only cubic-quintic nonlinearity(q = 0) is considered, only quintic-dipolar (alpha = 0) is considered and lastly non-zero for all terms. The numerical results are aligned with the analytical results.

Item Type: Article (Journal)
Additional Information: 3938/86865
Uncontrolled Keywords: Discrete Nonlinear Schrödinger Equation, Periodic Potential, Modulational Instability, Numerical Method
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
Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Dr Bakhram Umarov
Date Deposited: 28 Dec 2020 15:32
Last Modified: 28 Dec 2020 15:32
URI: http://irep.iium.edu.my/id/eprint/86865

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