The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials

The Cubic-Quintic Nonlinear Schrödinger Equation (CQNLSE) is one of the universal mathematical models constituting many interesting problems in physics such as plasma physics, condensed matter physics, Bose–Einstein condensates, nonlinear optics, etc. This paper studies the scattering of the solit...

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Main Authors:	Mohd Busul Aklan, Nor Amirah, Umarov, Bakhram A.
Format:	Article
Language:	English English
Published:	American Institute of Physics 2015
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/45715/ http://irep.iium.edu.my/45715/ http://irep.iium.edu.my/45715/ http://irep.iium.edu.my/45715/1/AIP_2015_paper.pdf http://irep.iium.edu.my/45715/4/45715_The%20soliton%20scattering%20of%20the%20cubic-quintic_Scopus.pdf

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spelling	iium-457152020-01-29T06:29:29Z http://irep.iium.edu.my/45715/ The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials Mohd Busul Aklan, Nor Amirah Umarov, Bakhram A. QA Mathematics QC Physics The Cubic-Quintic Nonlinear Schrödinger Equation (CQNLSE) is one of the universal mathematical models constituting many interesting problems in physics such as plasma physics, condensed matter physics, Bose–Einstein condensates, nonlinear optics, etc. This paper studies the scattering of the soliton of the CQNLSE on the localized external potential namely Gaussian potential. The approximate analytical method, also known as variational method has been applied in order to derive the equations for soliton parameters evolution during the scattering process. The validity of approximations was tested by direct numerical simulations of CQNLSE with soliton initially located far from potential. It was shown, in case of the potential in the form of Gaussian function, that depending on initial velocity of the soliton, the soliton may be reflected by potential or transmitted through it. The critical values of the velocity separating these two scenarios have been identified. American Institute of Physics 2015-10-22 Article PeerReviewed application/pdf en http://irep.iium.edu.my/45715/1/AIP_2015_paper.pdf application/pdf en http://irep.iium.edu.my/45715/4/45715_The%20soliton%20scattering%20of%20the%20cubic-quintic_Scopus.pdf Mohd Busul Aklan, Nor Amirah and Umarov, Bakhram A. (2015) The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials. AIP Conference Proceedings, 1682. 020022-1. ISSN 0094-243X (P), 1551-7616 (O) http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4932431 10.1063/1.4932431
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics QC Physics
spellingShingle	QA Mathematics QC Physics Mohd Busul Aklan, Nor Amirah Umarov, Bakhram A. The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials
description	The Cubic-Quintic Nonlinear Schrödinger Equation (CQNLSE) is one of the universal mathematical models constituting many interesting problems in physics such as plasma physics, condensed matter physics, Bose–Einstein condensates, nonlinear optics, etc. This paper studies the scattering of the soliton of the CQNLSE on the localized external potential namely Gaussian potential. The approximate analytical method, also known as variational method has been applied in order to derive the equations for soliton parameters evolution during the scattering process. The validity of approximations was tested by direct numerical simulations of CQNLSE with soliton initially located far from potential. It was shown, in case of the potential in the form of Gaussian function, that depending on initial velocity of the soliton, the soliton may be reflected by potential or transmitted through it. The critical values of the velocity separating these two scenarios have been identified.
format	Article
author	Mohd Busul Aklan, Nor Amirah Umarov, Bakhram A.
author_facet	Mohd Busul Aklan, Nor Amirah Umarov, Bakhram A.
author_sort	Mohd Busul Aklan, Nor Amirah
title	The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials
title_short	The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials
title_full	The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials
title_fullStr	The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials
title_full_unstemmed	The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials
title_sort	soliton scattering of the cubic-quintic nonlinear schrödinger equation on the external potentials
publisher	American Institute of Physics
publishDate	2015
url	http://irep.iium.edu.my/45715/ http://irep.iium.edu.my/45715/ http://irep.iium.edu.my/45715/ http://irep.iium.edu.my/45715/1/AIP_2015_paper.pdf http://irep.iium.edu.my/45715/4/45715_The%20soliton%20scattering%20of%20the%20cubic-quintic_Scopus.pdf
first_indexed	2023-09-18T21:05:03Z
last_indexed	2023-09-18T21:05:03Z
_version_	1777410877765451776

The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials

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