Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential
The flat top soliton is a localized solution of cubic - quintic Nonlinear Shr¨odinger equation (C-Q NLSE) that can propagate preserving its shape. In this work we consider the interaction of soliton with weak external localized potentials. It is shown that depending on an initial velocity the sol...
| 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/57326/ http://irep.iium.edu.my/57326/2/57326-Scattering%20of%20a%20flat%20top%20solitons%20of%20cubic%20quintic%20nonlinear.pdf http://irep.iium.edu.my/57326/3/57326-Scattering%20of%20a%20flat%20top%20solitons%20of%20cubic%20-%20Quintic%20nonlinear_SCOPUS.pdf http://irep.iium.edu.my/57326/14/57326%20Scattering%20of%20a%20flat%20top%20solitons%20of%20cubic%20WOS.pdf |
| _version_ | 1848784911032385536 |
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| author | Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah |
| author_facet | Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah |
| author_sort | Umarov, Bakhram A. |
| building | IIUM Repository |
| collection | Online Access |
| description | The flat top soliton is a localized solution of cubic - quintic Nonlinear Shr¨odinger
equation (C-Q NLSE) that can propagate preserving its shape. In this work we consider the
interaction of soliton with weak external localized potentials. It is shown that depending on
an initial velocity the soliton may be reflected or transmitted by potential. The approximate
analytical results based on varational approach qualitatively confirmed by numerical simulations. |
| first_indexed | 2025-11-14T16:44:46Z |
| format | Proceeding Paper |
| id | iium-57326 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:44:46Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-573262025-03-26T05:13:29Z http://irep.iium.edu.my/57326/ Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah QA Mathematics QC Physics The flat top soliton is a localized solution of cubic - quintic Nonlinear Shr¨odinger equation (C-Q NLSE) that can propagate preserving its shape. In this work we consider the interaction of soliton with weak external localized potentials. It is shown that depending on an initial velocity the soliton may be reflected or transmitted by potential. The approximate analytical results based on varational approach qualitatively confirmed by numerical simulations. IOP Publishing 2017-04-03 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/57326/2/57326-Scattering%20of%20a%20flat%20top%20solitons%20of%20cubic%20quintic%20nonlinear.pdf application/pdf en http://irep.iium.edu.my/57326/3/57326-Scattering%20of%20a%20flat%20top%20solitons%20of%20cubic%20-%20Quintic%20nonlinear_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/57326/14/57326%20Scattering%20of%20a%20flat%20top%20solitons%20of%20cubic%20WOS.pdf Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah (2017) Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential. In: 37th International Conference on Quantum Probability and Related Topics (QP37) 2016, 22nd-26th August 2016, Kuantan, Pahang, Malaysia. http://iopscience.iop.org/article/10.1088/1742-6596/819/1/012023/pdf 10.1088/1742-6596/819/1/012023 |
| spellingShingle | QA Mathematics QC Physics Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential |
| title | Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential |
| title_full | Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential |
| title_fullStr | Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential |
| title_full_unstemmed | Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential |
| title_short | Scattering of a flat top solitons of cubic - quintic nonlinear Shrödinger equation by a linear delta potential |
| title_sort | scattering of a flat top solitons of cubic - quintic nonlinear shrödinger equation by a linear delta potential |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/57326/ http://irep.iium.edu.my/57326/ http://irep.iium.edu.my/57326/ http://irep.iium.edu.my/57326/2/57326-Scattering%20of%20a%20flat%20top%20solitons%20of%20cubic%20quintic%20nonlinear.pdf http://irep.iium.edu.my/57326/3/57326-Scattering%20of%20a%20flat%20top%20solitons%20of%20cubic%20-%20Quintic%20nonlinear_SCOPUS.pdf http://irep.iium.edu.my/57326/14/57326%20Scattering%20of%20a%20flat%20top%20solitons%20of%20cubic%20WOS.pdf |