Soliton scattering on the external potential in weakly nonlocal nonlinear media

The Nonlinear Schrödinger Equation (NLSE) is one of the universal mathematical models and it arises in a 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 generalized NLSE on the l...

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Main Authors:	Umarov, Bakhram A., Mohd Busul Aklan, Nor Amirah
Format:	Conference or Workshop Item
Language:	English English
Published:	Institute for Mathematical Research (INSPEM) Universiti Putra Malaysia 2016
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/51973/ http://irep.iium.edu.my/51973/ http://irep.iium.edu.my/51973/7/51973-new.pdf http://irep.iium.edu.my/51973/13/51973-Soliton%20scattering%20on%20the%20external%20potential%20in%20weakly%20nonlocal%20nonlinear%20media_SCOPUS.pdf

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recordtype	eprints
spelling	iium-519732020-01-08T01:40:45Z http://irep.iium.edu.my/51973/ Soliton scattering on the external potential in weakly nonlocal nonlinear media Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah QA Mathematics QC Physics The Nonlinear Schrödinger Equation (NLSE) is one of the universal mathematical models and it arises in a 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 generalized NLSE on the localized external potential has been studied, taking into account the weak nonlocality of the media. 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 were checked by direct numerical simulations with soliton initially located far from potential. It was shown 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. Institute for Mathematical Research (INSPEM) Universiti Putra Malaysia 2016-02 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/51973/7/51973-new.pdf application/pdf en http://irep.iium.edu.my/51973/13/51973-Soliton%20scattering%20on%20the%20external%20potential%20in%20weakly%20nonlocal%20nonlinear%20media_SCOPUS.pdf Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah (2016) Soliton scattering on the external potential in weakly nonlocal nonlinear media. In: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE’14), 23-25 September 2014, Kuala Lumpur, Malaysia. http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb/No19.pdf
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 Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Soliton scattering on the external potential in weakly nonlocal nonlinear media
description	The Nonlinear Schrödinger Equation (NLSE) is one of the universal mathematical models and it arises in a 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 generalized NLSE on the localized external potential has been studied, taking into account the weak nonlocality of the media. 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 were checked by direct numerical simulations with soliton initially located far from potential. It was shown 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	Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah
author_facet	Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah
author_sort	Umarov, Bakhram A.
title	Soliton scattering on the external potential in weakly nonlocal nonlinear media
title_short	Soliton scattering on the external potential in weakly nonlocal nonlinear media
title_full	Soliton scattering on the external potential in weakly nonlocal nonlinear media
title_fullStr	Soliton scattering on the external potential in weakly nonlocal nonlinear media
title_full_unstemmed	Soliton scattering on the external potential in weakly nonlocal nonlinear media
title_sort	soliton scattering on the external potential in weakly nonlocal nonlinear media
publisher	Institute for Mathematical Research (INSPEM) Universiti Putra Malaysia
publishDate	2016
url	http://irep.iium.edu.my/51973/ http://irep.iium.edu.my/51973/ http://irep.iium.edu.my/51973/7/51973-new.pdf http://irep.iium.edu.my/51973/13/51973-Soliton%20scattering%20on%20the%20external%20potential%20in%20weakly%20nonlocal%20nonlinear%20media_SCOPUS.pdf
first_indexed	2023-09-18T21:13:41Z
last_indexed	2023-09-18T21:13:41Z
_version_	1777411420984442880

Soliton scattering on the external potential in weakly nonlocal nonlinear media

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