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Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential

Umarov, Bakhram A. and Aklan, Nor Amirah Busul (2017) Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential. In: 37th International Conference on Quantum Probability and Related Topics (QP37) 2016, 22nd-26th August 2016, Kuantan, Pahang, Malaysia.

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Abstract

The flat top soliton is a localized solution of cubic - quintic Nonlinear Shr¨odinger equation (C-Q NLSE) that can propagate preserving its shape. In this work we consider the interaction of soliton with weak external localized potentials. It is shown that depending on an initial velocity the soliton may be reflected or transmitted by potential. The approximate analytical results based on varational approach qualitatively confirmed by numerical simulations.

Item Type: Conference or Workshop Item (Plenary Papers)
Additional Information: 3938/57326
Uncontrolled Keywords: Solitons, Approximate analytical result, sDelta-potentials,Dinger equation, Flat-top, Initial velocities, Localized solutions, Quintic, Nonlinear equations
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: 05 Jul 2017 08:52
Last Modified: 18 Aug 2019 15:51
URI: http://irep.iium.edu.my/id/eprint/57326

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