Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation

The study of soliton scattering of the Nonlinear Schrodinger Equation (NLSE) has brought a wide focus by researchers especially in physics field such as Bose-Einstein condensates, nonlinear optics, plasma physics, condensed matter physics, etc. This paper concentrates on the effect of potentials to...

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Main Authors:	Aklana, Nor Amirah Busul, Umarov, Bakhram
Format:	Conference or Workshop Item
Language:	English
Published:	Institute of Electrical and Electronics Engineers 2015
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/50652/ http://irep.iium.edu.my/50652/ http://irep.iium.edu.my/50652/ http://irep.iium.edu.my/50652/4/50652.pdf

id	iium-50652
recordtype	eprints
spelling	iium-506522017-10-12T03:00:19Z http://irep.iium.edu.my/50652/ Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation Aklana, Nor Amirah Busul Umarov, Bakhram QA Mathematics QC Physics The study of soliton scattering of the Nonlinear Schrodinger Equation (NLSE) has brought a wide focus by researchers especially in physics field such as Bose-Einstein condensates, nonlinear optics, plasma physics, condensed matter physics, etc. This paper concentrates on the effect of potentials to the soliton scattering in the generalized NLSE, Cubic-Quintic Nonlinear Schrodinger Equation (CQNLSE). To derive the equations for soliton parameters evolution during the scattering process, we have applied the approximate analytical method, namely the variational approximation method. The accuracy of approximations was checked by direct numerical simulations of CQNLSE with soliton initially located far from potential. In case of the potential in the form of delta function, depending on initial velocity of the soliton, it was shown the soliton may be reflected by potential or transmitted through it. The critical values of the velocity separating these two scenarios have been identified. Institute of Electrical and Electronics Engineers 2015-12-14 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/50652/4/50652.pdf Aklana, Nor Amirah Busul and Umarov, Bakhram (2015) Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation. In: 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education (ICREM7 2015), 25th-27th August, 2015, Kuala Lumpur. http://ieeexplore.ieee.org/xpl/abstractReferences.jsp?arnumber=7357033 10.1109/ICREM.2015.7357033
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics QC Physics
spellingShingle	QA Mathematics QC Physics Aklana, Nor Amirah Busul Umarov, Bakhram Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation
description	The study of soliton scattering of the Nonlinear Schrodinger Equation (NLSE) has brought a wide focus by researchers especially in physics field such as Bose-Einstein condensates, nonlinear optics, plasma physics, condensed matter physics, etc. This paper concentrates on the effect of potentials to the soliton scattering in the generalized NLSE, Cubic-Quintic Nonlinear Schrodinger Equation (CQNLSE). To derive the equations for soliton parameters evolution during the scattering process, we have applied the approximate analytical method, namely the variational approximation method. The accuracy of approximations was checked by direct numerical simulations of CQNLSE with soliton initially located far from potential. In case of the potential in the form of delta function, depending on initial velocity of the soliton, it was shown 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	Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation
title_short	Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation
title_full	Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation
title_fullStr	Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation
title_full_unstemmed	Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation
title_sort	interaction of solitons with delta potential in the cubic-quintic nonlinear schrodinger equation
publisher	Institute of Electrical and Electronics Engineers
publishDate	2015
url	http://irep.iium.edu.my/50652/ http://irep.iium.edu.my/50652/ http://irep.iium.edu.my/50652/ http://irep.iium.edu.my/50652/4/50652.pdf
first_indexed	2023-09-18T21:11:36Z
last_indexed	2023-09-18T21:11:36Z
_version_	1777411289215139840

Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation

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