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Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations
Includes abstract.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2015
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| _version_ | 1867613300731150336 |
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| access_status_str | Open Access |
| author | Lee-Thorpe, James |
| author2 | Barashenkov, Igor |
| author_browse | Barashenkov, Igor Lee-Thorpe, James |
| author_facet | Barashenkov, Igor Lee-Thorpe, James |
| author_sort | Lee-Thorpe, James |
| collection | Thesis |
| description | Includes abstract. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/11261 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:57.504Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/11261 Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations Lee-Thorpe, James Barashenkov, Igor Mathematics and Applied Mathematics Includes abstract. Includes bibliographical references. In this thesis we develop and employ a spectral continuation algorithm, implemented in AUTO, to study the temporally periodic spatially localised soliton solutions of the driven, damped nonlinear Schrödinger equations, both in the case of parametric driving and direct driving. We hope that this study is of interest not only in the context of the nonlinear Schrödinger equations but also separately as a study of an efficient numerical algorithm for continuing (path-following) solutions to general two-dimensional periodic soliton bearing PDEs. 2015-01-04T14:29:31Z 2015-01-04T14:29:31Z 2012 Master Thesis Masters MSc http://hdl.handle.net/11427/11261 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Lee-Thorpe, James Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations |
| thesis_degree_str | Master's |
| title | Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations |
| title_full | Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations |
| title_fullStr | Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations |
| title_full_unstemmed | Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations |
| title_short | Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations |
| title_sort | spectral continuation study of the temporally periodic solitons of the damped driven nonlinear schrodinger equations |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/11261 |
| work_keys_str_mv | AT leethorpejames spectralcontinuationstudyofthetemporallyperiodicsolitonsofthedampeddrivennonlinearschrodingerequations |