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...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English English |
| Published: |
IOP Publishing
2017
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| Online Access: | 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 |
| _version_ | 1848784216669552640 |
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| author | Mohd Busul Aklan, Nor Amirah Umarov, Bakhram A. |
| author_facet | Mohd Busul Aklan, Nor Amirah Umarov, Bakhram A. |
| author_sort | Mohd Busul Aklan, Nor Amirah |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T16:33:43Z |
| format | Proceeding Paper |
| id | iium-53340 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:33:43Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-533402025-03-26T05:17:08Z http://irep.iium.edu.my/53340/ The soliton interaction in weakly nonlocal nonlinear media on the external potentials Mohd Busul Aklan, Nor Amirah 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 Proceeding Paper 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 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 |
| spellingShingle | QA Mathematics QC Physics Mohd Busul Aklan, Nor Amirah Umarov, Bakhram A. The soliton interaction in weakly nonlocal nonlinear media on the external potentials |
| title | 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_short | 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 |
| topic | QA Mathematics QC Physics |
| 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 |