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The soliton interaction in weakly nonlocal nonlinear media on the external potentials

Busul Aklan, Nor Amirah and Umarov, Bakhram A. (2017) The soliton interaction in weakly nonlocal nonlinear media on the external potentials. In: 37 International Conference Quantum Probability and Related Topics, 22nd-26th August, 2016, Kuantan, Pahang.

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Abstract

This paperwork had observed the analytical and numerical study of the solitons interaction and scattering of the weakly nonlocal nonlinear media on the external potential called delta potential. Using generalized form of Nonlinear Schrodinger Equation (NLSE) which is Cubic-Quintic NLSE, in weakly nonlocal nonlinear media, we applied the variational approximation method to derive the equations for soliton parameters evolution during scattering process. Then a direct numerical simulation of NLSE is used to check the validity of approximations, considering the soliton initially located far from potential. Depending on initial velocity of the soliton, the phenomenon of reflection and transmission of the soliton through the potential have been showed. The critical values of the velocity separating these two scenarios have been identified.

Item Type: Conference or Workshop Item (Plenary Papers)
Additional Information: 3938/53340
Uncontrolled Keywords: soliton interaction, eakly nonlocal nonlinear media, external potentials
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: 15 Dec 2016 16:17
Last Modified: 22 Mar 2018 17:37
URI: http://irep.iium.edu.my/id/eprint/53340

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