The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials

One of the universal mathematical models, the Cubic-Quintic Nonlinear Schrödinger Equation (CQNLSE) describes many interesting problems in physics. It arises in such diverse areas as plasma physics, condensed matter physics, Bose–Einstein condensates, nonlinear optics, etc. In this work the scatteri...

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Main Authors:	Aklana, Nor Amirah Busul, Umarov, Bakhram
Format:	Conference or Workshop Item
Language:	English English English English English English
Published:	2015
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/43967/ http://irep.iium.edu.my/43967/ http://irep.iium.edu.my/43967/1/ICRAAMM_Presentation.pptx http://irep.iium.edu.my/43967/2/f1.pdf http://irep.iium.edu.my/43967/3/f2.pdf http://irep.iium.edu.my/43967/4/f3.pdf http://irep.iium.edu.my/43967/5/f4.pdf http://irep.iium.edu.my/43967/6/f5.pdf

id	iium-43967
recordtype	eprints
spelling	iium-439672017-06-15T01:47:14Z http://irep.iium.edu.my/43967/ The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials Aklana, Nor Amirah Busul Umarov, Bakhram QA Mathematics QC Physics One of the universal mathematical models, the Cubic-Quintic Nonlinear Schrödinger Equation (CQNLSE) describes many interesting problems in physics. It arises in such diverse areas as plasma physics, condensed matter physics, Bose–Einstein condensates, nonlinear optics, etc. In this work the scattering of the soliton of the CQNLSE on the localized external potential has been studied. We have applied the approximate analytical method, namely the variational method to derive the equations for soliton parameters evolution during the scattering process. The validity of approximations was checked 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 delta 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. 2015 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/43967/1/ICRAAMM_Presentation.pptx application/pdf en http://irep.iium.edu.my/43967/2/f1.pdf application/pdf en http://irep.iium.edu.my/43967/3/f2.pdf application/pdf en http://irep.iium.edu.my/43967/4/f3.pdf application/pdf en http://irep.iium.edu.my/43967/5/f4.pdf application/pdf en http://irep.iium.edu.my/43967/6/f5.pdf Aklana, Nor Amirah Busul and Umarov, Bakhram (2015) The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials. In: International Conference on Applied Analysis and Mathematical Modeling , 8-12 June, 2015, Istanbul, Turkey. (Unpublished) http://www.ntmsci.com/Conferences/ICAAMM2015
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English English English English
topic	QA Mathematics QC Physics
spellingShingle	QA Mathematics QC Physics Aklana, Nor Amirah Busul Umarov, Bakhram The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials
description	One of the universal mathematical models, the Cubic-Quintic Nonlinear Schrödinger Equation (CQNLSE) describes many interesting problems in physics. It arises in such diverse areas as plasma physics, condensed matter physics, Bose–Einstein condensates, nonlinear optics, etc. In this work the scattering of the soliton of the CQNLSE on the localized external potential has been studied. We have applied the approximate analytical method, namely the variational method to derive the equations for soliton parameters evolution during the scattering process. The validity of approximations was checked 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 delta 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	Conference or Workshop Item
author	Aklana, Nor Amirah Busul Umarov, Bakhram
author_facet	Aklana, Nor Amirah Busul Umarov, Bakhram
author_sort	Aklana, Nor Amirah Busul
title	The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials
title_short	The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials
title_full	The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials
title_fullStr	The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials
title_full_unstemmed	The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials
title_sort	cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials
publishDate	2015
url	http://irep.iium.edu.my/43967/ http://irep.iium.edu.my/43967/ http://irep.iium.edu.my/43967/1/ICRAAMM_Presentation.pptx http://irep.iium.edu.my/43967/2/f1.pdf http://irep.iium.edu.my/43967/3/f2.pdf http://irep.iium.edu.my/43967/4/f3.pdf http://irep.iium.edu.my/43967/5/f4.pdf http://irep.iium.edu.my/43967/6/f5.pdf
first_indexed	2023-09-18T21:02:33Z
last_indexed	2023-09-18T21:02:33Z
_version_	1777410719799574528

The cubic-quintic nonlinear schrödinger equation soliton scattering on the linear potentials

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