Scattering of a flat top solitons of cubic - quintic nonlinear Shrodinger equation by delta potential

The flat top soliton is a localized solution of cubic - quintic Nonlinear Shrodinger equation (C-Q NLSE) that can propagate preserving its shape. In this work we consider the interaction of soliton with weak external localized potentials. It is shown that depending on an initial velocity the soli...

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Main Authors: Umarov, Bakhram A., Busul Aklan, Nor Amirah
Format: Proceeding Paper
Language:English
Published: 2016
Subjects:
Online Access:http://irep.iium.edu.my/53332/
http://irep.iium.edu.my/53332/6/53332.pdf
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author Umarov, Bakhram A.
Busul Aklan, Nor Amirah
author_facet Umarov, Bakhram A.
Busul Aklan, Nor Amirah
author_sort Umarov, Bakhram A.
building IIUM Repository
collection Online Access
description The flat top soliton is a localized solution of cubic - quintic Nonlinear Shrodinger equation (C-Q NLSE) that can propagate preserving its shape. In this work we consider the interaction of soliton with weak external localized potentials. It is shown that depending on an initial velocity the soliton may be re ected or transmitted by potential. The approximate analytical results based on varational approach qualitatively confirmed by numerical simulations.
first_indexed 2025-11-14T16:33:42Z
format Proceeding Paper
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institution International Islamic University Malaysia
institution_category Local University
language English
last_indexed 2025-11-14T16:33:42Z
publishDate 2016
recordtype eprints
repository_type Digital Repository
spelling iium-533322020-01-29T06:36:51Z http://irep.iium.edu.my/53332/ Scattering of a flat top solitons of cubic - quintic nonlinear Shrodinger equation by delta potential Umarov, Bakhram A. Busul Aklan, Nor Amirah QA Mathematics QC Physics The flat top soliton is a localized solution of cubic - quintic Nonlinear Shrodinger equation (C-Q NLSE) that can propagate preserving its shape. In this work we consider the interaction of soliton with weak external localized potentials. It is shown that depending on an initial velocity the soliton may be re ected or transmitted by potential. The approximate analytical results based on varational approach qualitatively confirmed by numerical simulations. 2016-08 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/53332/6/53332.pdf Umarov, Bakhram A. and Busul Aklan, Nor Amirah (2016) Scattering of a flat top solitons of cubic - quintic nonlinear Shrodinger equation by delta potential. In: 37 International Conference Quantum Probability and Related Topics, 22nd-26th August, 2016, Kuantan, Pahang. (Unpublished) http://www.iium.edu.my/qp2016/
spellingShingle QA Mathematics
QC Physics
Umarov, Bakhram A.
Busul Aklan, Nor Amirah
Scattering of a flat top solitons of cubic - quintic nonlinear Shrodinger equation by delta potential
title Scattering of a flat top solitons of cubic - quintic nonlinear Shrodinger equation by delta potential
title_full Scattering of a flat top solitons of cubic - quintic nonlinear Shrodinger equation by delta potential
title_fullStr Scattering of a flat top solitons of cubic - quintic nonlinear Shrodinger equation by delta potential
title_full_unstemmed Scattering of a flat top solitons of cubic - quintic nonlinear Shrodinger equation by delta potential
title_short Scattering of a flat top solitons of cubic - quintic nonlinear Shrodinger equation by delta potential
title_sort scattering of a flat top solitons of cubic - quintic nonlinear shrodinger equation by delta potential
topic QA Mathematics
QC Physics
url http://irep.iium.edu.my/53332/
http://irep.iium.edu.my/53332/
http://irep.iium.edu.my/53332/6/53332.pdf