Soliton scattering on the external potential in weakly nonlocal nonlinear media
The Nonlinear Schrödinger Equation (NLSE) is on 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 locali...
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| Format: | Proceeding Paper |
| Language: | English English |
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2014
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| Online Access: | http://irep.iium.edu.my/38743/6/Bakhram_to_ICMAE2014_poster.pdf http://irep.iium.edu.my/38743/14/Binder1.pdf |
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| author | Umarov, Bakhram Busul Aklan, Nor Amirah |
| author_facet | Umarov, Bakhram Busul Aklan, Nor Amirah |
| author_sort | Umarov, Bakhram |
| collection | IIUM |
| description | The Nonlinear Schrödinger Equation (NLSE) is on 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.
Keywords: Soliton, nonlinear equations, scattering, variational methods.
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| first_indexed | 2024-03-05T23:30:25Z |
| format | Proceeding Paper |
| id | oai:generic.eprints.org:38743 |
| institution | International Islamic University Malaysia |
| language | English English |
| last_indexed | 2024-03-05T23:30:25Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | oai:generic.eprints.org:387432020-01-29T06:37:54Z http://irep.iium.edu.my/38743/ Soliton scattering on the external potential in weakly nonlocal nonlinear media Umarov, Bakhram Busul Aklan, Nor Amirah QC Physics The Nonlinear Schrödinger Equation (NLSE) is on 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. Keywords: Soliton, nonlinear equations, scattering, variational methods. 2014 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/38743/6/Bakhram_to_ICMAE2014_poster.pdf application/pdf en http://irep.iium.edu.my/38743/14/Binder1.pdf Umarov, Bakhram and Busul Aklan, Nor Amirah (2014) Soliton scattering on the external potential in weakly nonlocal nonlinear media. In: ICMAE 2014, 23-25 September 2014, Sunway Putra Hotel, Kuala Lumpur. (Unpublished) http://www.iium.edu.my/icmae/14/?page_id=490 |
| spellingShingle | QC Physics Umarov, Bakhram Busul Aklan, Nor Amirah Soliton scattering on the external potential in weakly nonlocal nonlinear media |
| title | 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_short | Soliton scattering on the external potential in weakly nonlocal nonlinear media |
| title_sort | soliton scattering on the external potential in weakly nonlocal nonlinear media |
| topic | QC Physics |
| url | http://irep.iium.edu.my/38743/6/Bakhram_to_ICMAE2014_poster.pdf http://irep.iium.edu.my/38743/14/Binder1.pdf |
| work_keys_str_mv | AT umarovbakhram solitonscatteringontheexternalpotentialinweaklynonlocalnonlinearmedia AT busulaklannoramirah solitonscatteringontheexternalpotentialinweaklynonlocalnonlinearmedia |