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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: Proceeding Paper
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/51973/7/51973-new.pdf
http://irep.iium.edu.my/51973/13/51973-Soliton%20scattering%20on%20the%20external%20potential%20in%20weakly%20nonlocal%20nonlinear%20media_SCOPUS.pdf
http://irep.iium.edu.my/51973/
http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb/No19.pdf
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spelling my.iium.irep.519732023-12-07T09:30:07Z 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 Proceeding Paper 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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 Proceeding Paper
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/51973/7/51973-new.pdf
http://irep.iium.edu.my/51973/13/51973-Soliton%20scattering%20on%20the%20external%20potential%20in%20weakly%20nonlocal%20nonlinear%20media_SCOPUS.pdf
http://irep.iium.edu.my/51973/
http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb/No19.pdf
_version_ 1787131867848245248
score 13.211869

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