Variational analysis of soliton scattering by external potentials
Dynamics of the width and center-of-mass position of a matter wave soliton subject to interaction with arbitrary external potential is analyzed using the collective coordinates approach. It is shown that approximation of the trial function and external potential only in the interaction region of...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Institute of Physics Publishing (UK)
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/30833/ http://irep.iium.edu.my/30833/1/Variational_analysis_of_soliton_scattering_by_external_potentials.pdf |
| _version_ | 1848780348554477568 |
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| author | Umarov, Bakhram Messikh, Azeddin Regaa, Nassima Bayzakov, Bakhtiyor |
| author_facet | Umarov, Bakhram Messikh, Azeddin Regaa, Nassima Bayzakov, Bakhtiyor |
| author_sort | Umarov, Bakhram |
| building | IIUM Repository |
| collection | Online Access |
| description | Dynamics of the width and center-of-mass position of a matter wave soliton subject
to interaction with arbitrary external potential is analyzed using the collective coordinates
approach. It is shown that approximation of the trial function and external potential only in
the interaction region of the spatial domain is sufficient for adequate description of the soliton
scattering process. The validity of the developed approach is illustrated for the Gaussian and
P¨oschl-Teller potentials. |
| first_indexed | 2025-11-14T15:32:15Z |
| format | Article |
| id | iium-30833 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:32:15Z |
| publishDate | 2013 |
| publisher | Institute of Physics Publishing (UK) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-308332013-08-06T00:46:17Z http://irep.iium.edu.my/30833/ Variational analysis of soliton scattering by external potentials Umarov, Bakhram Messikh, Azeddin Regaa, Nassima Bayzakov, Bakhtiyor QC Physics Dynamics of the width and center-of-mass position of a matter wave soliton subject to interaction with arbitrary external potential is analyzed using the collective coordinates approach. It is shown that approximation of the trial function and external potential only in the interaction region of the spatial domain is sufficient for adequate description of the soliton scattering process. The validity of the developed approach is illustrated for the Gaussian and P¨oschl-Teller potentials. Institute of Physics Publishing (UK) 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/30833/1/Variational_analysis_of_soliton_scattering_by_external_potentials.pdf Umarov, Bakhram and Messikh, Azeddin and Regaa, Nassima and Bayzakov, Bakhtiyor (2013) Variational analysis of soliton scattering by external potentials. Journal of Physics: Conference Series, 435 (012024). 012024-1. ISSN 1742-6588 (P), 1742-6596 (O) http://iopscience.iop.org/1742-6596/435/1/012024 10.1088/1742-6596/435/1/012024 |
| spellingShingle | QC Physics Umarov, Bakhram Messikh, Azeddin Regaa, Nassima Bayzakov, Bakhtiyor Variational analysis of soliton scattering by external potentials |
| title | Variational analysis of soliton scattering by external potentials |
| title_full | Variational analysis of soliton scattering by external potentials |
| title_fullStr | Variational analysis of soliton scattering by external potentials |
| title_full_unstemmed | Variational analysis of soliton scattering by external potentials |
| title_short | Variational analysis of soliton scattering by external potentials |
| title_sort | variational analysis of soliton scattering by external potentials |
| topic | QC Physics |
| url | http://irep.iium.edu.my/30833/ http://irep.iium.edu.my/30833/ http://irep.iium.edu.my/30833/ http://irep.iium.edu.my/30833/1/Variational_analysis_of_soliton_scattering_by_external_potentials.pdf |