Soliton scattering on the external potential in weakly nonlocal nonlinear media

The Nonlinear Schrödinger Equation (NLSE) is on 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 locali...

Full description

Bibliographic Details
Main Authors:	Umarov, Bakhram, Busul Aklan, Nor Amirah
Format:	Conference or Workshop Item
Language:	English English
Published:	2014
Subjects:	QC Physics
Online Access:	http://irep.iium.edu.my/38743/ http://irep.iium.edu.my/38743/ http://irep.iium.edu.my/38743/6/Bakhram_to_ICMAE2014_poster.pdf http://irep.iium.edu.my/38743/14/Binder1.pdf

id	iium-38743
recordtype	eprints
spelling	iium-387432020-01-29T06:37:54Z http://irep.iium.edu.my/38743/ Soliton scattering on the external potential in weakly nonlocal nonlinear media Umarov, Bakhram Busul Aklan, Nor Amirah QC Physics The Nonlinear Schrödinger Equation (NLSE) is on 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. Keywords: Soliton, nonlinear equations, scattering, variational methods. 2014 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/38743/6/Bakhram_to_ICMAE2014_poster.pdf application/pdf en http://irep.iium.edu.my/38743/14/Binder1.pdf Umarov, Bakhram and Busul Aklan, Nor Amirah (2014) Soliton scattering on the external potential in weakly nonlocal nonlinear media. In: ICMAE 2014, 23-25 September 2014, Sunway Putra Hotel, Kuala Lumpur. (Unpublished) http://www.iium.edu.my/icmae/14/?page_id=490
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QC Physics
spellingShingle	QC Physics Umarov, Bakhram Busul Aklan, Nor Amirah Soliton scattering on the external potential in weakly nonlocal nonlinear media
description	The Nonlinear Schrödinger Equation (NLSE) is on 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. Keywords: Soliton, nonlinear equations, scattering, variational methods.
format	Conference or Workshop Item
author	Umarov, Bakhram Busul Aklan, Nor Amirah
author_facet	Umarov, Bakhram Busul Aklan, Nor Amirah
author_sort	Umarov, Bakhram
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
publishDate	2014
url	http://irep.iium.edu.my/38743/ http://irep.iium.edu.my/38743/ http://irep.iium.edu.my/38743/6/Bakhram_to_ICMAE2014_poster.pdf http://irep.iium.edu.my/38743/14/Binder1.pdf
first_indexed	2023-09-18T20:55:41Z
last_indexed	2023-09-18T20:55:41Z
_version_	1777410288614637568

Soliton scattering on the external potential in weakly nonlocal nonlinear media

Similar Items