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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Online Access: | 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 http://irep.iium.edu.my/53340/ http://iopscience.iop.org/article/10.1088/1742-6596/819/1/012024/pdf |
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my.iium.irep.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 |
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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 |
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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 |
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IOP Publishing |
publishDate |
2017 |
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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 http://irep.iium.edu.my/53340/ http://iopscience.iop.org/article/10.1088/1742-6596/819/1/012024/pdf |
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