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Parametrically driven dark solitons
Includes bibliographical references (leaves 120-127).
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| Main Author: | |
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| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867614249285582848 |
|---|---|
| access_status_str | Open Access |
| author | Woodford, S R |
| author_browse | Woodford, S R |
| author_facet | Woodford, S R |
| author_sort | Woodford, S R |
| collection | Thesis |
| description | Includes bibliographical references (leaves 120-127). |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/4946 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:49:02.498Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| 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:11427/4946 Parametrically driven dark solitons Woodford, S R Mathematics and Applied Mathematics Includes bibliographical references (leaves 120-127). This is a study of the dynamics of the dark solitons described by the parametrically driven nonlinear Schrödinger equation. We prove that both types of dark solitons (the Bloch and Néel walls) are stable throughout their existence regions, and that in the region of their coexistence, a family of Bloch-Néel bound states exists, which is parametrised by the inter-soliton separation. Using the Hirota method, we explicitly construct the family. 2014-07-31T08:11:14Z 2014-07-31T08:11:14Z 2004 Master Thesis Masters MSc http://hdl.handle.net/11427/4946 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Woodford, S R Parametrically driven dark solitons |
| thesis_degree_str | Master's |
| title | Parametrically driven dark solitons |
| title_full | Parametrically driven dark solitons |
| title_fullStr | Parametrically driven dark solitons |
| title_full_unstemmed | Parametrically driven dark solitons |
| title_short | Parametrically driven dark solitons |
| title_sort | parametrically driven dark solitons |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/4946 |
| work_keys_str_mv | AT woodfordsr parametricallydrivendarksolitons |