Variational analysis of soliton scattering by external potentials

Dynamics of the width and center-of-mass position of a matter wave soliton subject to interaction with arbitrary external potential is analyzed using the collective coordinates approach. It is shown that approximation of the trial function and external potential only in the interaction region of...

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Main Authors:	Umarov, Bakhram, Messikh, Azeddin, Regaa, Nassima, Bayzakov, Bakhtiyor
Format:	Article
Language:	English
Published:	Institute of Physics Publishing (UK) 2013
Subjects:	QC Physics
Online Access:	http://irep.iium.edu.my/30833/ http://irep.iium.edu.my/30833/ http://irep.iium.edu.my/30833/ http://irep.iium.edu.my/30833/1/Variational_analysis_of_soliton_scattering_by_external_potentials.pdf

id	iium-30833
recordtype	eprints
spelling	iium-308332013-08-06T00:46:17Z http://irep.iium.edu.my/30833/ Variational analysis of soliton scattering by external potentials Umarov, Bakhram Messikh, Azeddin Regaa, Nassima Bayzakov, Bakhtiyor QC Physics Dynamics of the width and center-of-mass position of a matter wave soliton subject to interaction with arbitrary external potential is analyzed using the collective coordinates approach. It is shown that approximation of the trial function and external potential only in the interaction region of the spatial domain is sufficient for adequate description of the soliton scattering process. The validity of the developed approach is illustrated for the Gaussian and P¨oschl-Teller potentials. Institute of Physics Publishing (UK) 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/30833/1/Variational_analysis_of_soliton_scattering_by_external_potentials.pdf Umarov, Bakhram and Messikh, Azeddin and Regaa, Nassima and Bayzakov, Bakhtiyor (2013) Variational analysis of soliton scattering by external potentials. Journal of Physics: Conference Series, 435 (012024). 012024-1. ISSN 1742-6588 (P), 1742-6596 (O) http://iopscience.iop.org/1742-6596/435/1/012024 10.1088/1742-6596/435/1/012024
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QC Physics
spellingShingle	QC Physics Umarov, Bakhram Messikh, Azeddin Regaa, Nassima Bayzakov, Bakhtiyor Variational analysis of soliton scattering by external potentials
description	Dynamics of the width and center-of-mass position of a matter wave soliton subject to interaction with arbitrary external potential is analyzed using the collective coordinates approach. It is shown that approximation of the trial function and external potential only in the interaction region of the spatial domain is sufficient for adequate description of the soliton scattering process. The validity of the developed approach is illustrated for the Gaussian and P¨oschl-Teller potentials.
format	Article
author	Umarov, Bakhram Messikh, Azeddin Regaa, Nassima Bayzakov, Bakhtiyor
author_facet	Umarov, Bakhram Messikh, Azeddin Regaa, Nassima Bayzakov, Bakhtiyor
author_sort	Umarov, Bakhram
title	Variational analysis of soliton scattering by external potentials
title_short	Variational analysis of soliton scattering by external potentials
title_full	Variational analysis of soliton scattering by external potentials
title_fullStr	Variational analysis of soliton scattering by external potentials
title_full_unstemmed	Variational analysis of soliton scattering by external potentials
title_sort	variational analysis of soliton scattering by external potentials
publisher	Institute of Physics Publishing (UK)
publishDate	2013
url	http://irep.iium.edu.my/30833/ http://irep.iium.edu.my/30833/ http://irep.iium.edu.my/30833/ http://irep.iium.edu.my/30833/1/Variational_analysis_of_soliton_scattering_by_external_potentials.pdf
first_indexed	2023-09-18T20:45:05Z
last_indexed	2023-09-18T20:45:05Z
_version_	1777409620747223040

Variational analysis of soliton scattering by external potentials

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