The soliton interaction in weakly nonlocal nonlinear media on the external potentials

The soliton interaction in weakly nonlocal nonlinear media on the external potentials

This paperwork had observed the analytical and numerical study of the solitons interaction and scattering of the weakly nonlocal nonlinear media on the external potential called delta potential. Using generalized form of Nonlinear Schrodinger Equation (NLSE) which is Cubic-Quintic NLSE, in weakly no...

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Main Authors: Mohd Busul Aklan, Nor Amirah Busul, Umarov, Bakhram A.
Format: Conference or Workshop Item
Language:English
English
English
Published: IOP Publishing 2017
Subjects:
QA Mathematics
QC Physics
Online Access:http://irep.iium.edu.my/53340/
http://irep.iium.edu.my/53340/
http://irep.iium.edu.my/53340/
http://irep.iium.edu.my/53340/18/53340%20The%20soliton%20interaction%20in%20weakly%20nonlocal%20nonlinear%20media%20on%20the%20external%20potentials.pdf
http://irep.iium.edu.my/53340/12/53340_The%20Soliton%20Interaction%20in%20Weakly%20Nonlocal%20Nonlinear%20Media_Scopus.pdf
http://irep.iium.edu.my/53340/6/53340.pdf
id iium-53340
recordtype eprints
spelling iium-533402020-01-29T06:28:35Z http://irep.iium.edu.my/53340/ The soliton interaction in weakly nonlocal nonlinear media on the external potentials Mohd Busul Aklan, Nor Amirah Busul Umarov, Bakhram A. QA Mathematics QC Physics This paperwork had observed the analytical and numerical study of the solitons interaction and scattering of the weakly nonlocal nonlinear media on the external potential called delta potential. Using generalized form of Nonlinear Schrodinger Equation (NLSE) which is Cubic-Quintic NLSE, in weakly nonlocal nonlinear media, we applied the variational approximation method to derive the equations for soliton parameters evolution during scattering process. Then a direct numerical simulation of NLSE is used to check the validity of approximations, considering the soliton initially located far from potential. Depending on initial velocity of the soliton, the phenomenon of reflection and transmission of the soliton through the potential have been showed. The critical values of the velocity separating these two scenarios have been identified. IOP Publishing 2017-04-03 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/53340/18/53340%20The%20soliton%20interaction%20in%20weakly%20nonlocal%20nonlinear%20media%20on%20the%20external%20potentials.pdf application/pdf en http://irep.iium.edu.my/53340/12/53340_The%20Soliton%20Interaction%20in%20Weakly%20Nonlocal%20Nonlinear%20Media_Scopus.pdf application/pdf en http://irep.iium.edu.my/53340/6/53340.pdf Mohd Busul Aklan, Nor Amirah Busul and Umarov, Bakhram A. (2017) The soliton interaction in weakly nonlocal nonlinear media on the external potentials. In: 37 International Conference Quantum Probability and Related Topics, 22nd-26th August, 2016, Kuantan, Pahang. http://iopscience.iop.org/article/10.1088/1742-6596/819/1/012024/pdf 10.1088/1742-6596/819/1/012024
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
English
topic QA Mathematics
QC Physics
spellingShingle QA Mathematics
QC Physics
Mohd Busul Aklan, Nor Amirah Busul
Umarov, Bakhram A.
The soliton interaction in weakly nonlocal nonlinear media on the external potentials
description This paperwork had observed the analytical and numerical study of the solitons interaction and scattering of the weakly nonlocal nonlinear media on the external potential called delta potential. Using generalized form of Nonlinear Schrodinger Equation (NLSE) which is Cubic-Quintic NLSE, in weakly nonlocal nonlinear media, we applied the variational approximation method to derive the equations for soliton parameters evolution during scattering process. Then a direct numerical simulation of NLSE is used to check the validity of approximations, considering the soliton initially located far from potential. Depending on initial velocity of the soliton, the phenomenon of reflection and transmission of the soliton through the potential have been showed. The critical values of the velocity separating these two scenarios have been identified.
format Conference or Workshop Item
author Mohd Busul Aklan, Nor Amirah Busul
Umarov, Bakhram A.
author_facet Mohd Busul Aklan, Nor Amirah Busul
Umarov, Bakhram A.
author_sort Mohd Busul Aklan, Nor Amirah Busul
title The soliton interaction in weakly nonlocal nonlinear media on the external potentials
title_short The soliton interaction in weakly nonlocal nonlinear media on the external potentials
title_full The soliton interaction in weakly nonlocal nonlinear media on the external potentials
title_fullStr The soliton interaction in weakly nonlocal nonlinear media on the external potentials
title_full_unstemmed The soliton interaction in weakly nonlocal nonlinear media on the external potentials
title_sort soliton interaction in weakly nonlocal nonlinear media on the external potentials
publisher IOP Publishing
publishDate 2017
url http://irep.iium.edu.my/53340/
http://irep.iium.edu.my/53340/
http://irep.iium.edu.my/53340/
http://irep.iium.edu.my/53340/18/53340%20The%20soliton%20interaction%20in%20weakly%20nonlocal%20nonlinear%20media%20on%20the%20external%20potentials.pdf
http://irep.iium.edu.my/53340/12/53340_The%20Soliton%20Interaction%20in%20Weakly%20Nonlocal%20Nonlinear%20Media_Scopus.pdf
http://irep.iium.edu.my/53340/6/53340.pdf
first_indexed 2023-09-18T21:15:29Z
last_indexed 2023-09-18T21:15:29Z
_version_ 1777411533866795008

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