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Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations
Includes bibliographical references.
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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
2014
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| _version_ | 1867614534473089024 |
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| access_status_str | Open Access |
| author | Cross, Simon |
| author2 | Barashenkov, Igor |
| author_browse | Barashenkov, Igor Cross, Simon |
| author_facet | Barashenkov, Igor Cross, Simon |
| author_sort | Cross, Simon |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/4876 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:53:34.474Z |
| 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:11427/4876 Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations Cross, Simon Barashenkov, Igor Mathematics and Applied Mathematics Includes bibliographical references. This thesis deals with localised solutions of the parametrically driven Ginzburg-Landau equation and its nonlinear Schrӧdinger limit. We begin with a detailed analysis of the Faraday Resonance experiment, in which the driven complex Ginzburg-Landau equation (CGLE) arises, and an examination of how the CGLE appears as the amplitude equation for the modes excited near a Hopf bifurcation. 2014-07-31T08:06:58Z 2014-07-31T08:06:58Z 2003 Master Thesis Masters MSc http://hdl.handle.net/11427/4876 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Cross, Simon Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations |
| thesis_degree_str | Master's |
| title | Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations |
| title_full | Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations |
| title_fullStr | Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations |
| title_full_unstemmed | Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations |
| title_short | Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations |
| title_sort | localised solutions of the parametrically driven ginzburg landau and nonlinear schrӧdinger equations |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/4876 |
| work_keys_str_mv | AT crosssimon localisedsolutionsoftheparametricallydrivenginzburglandauandnonlinearschrödingerequations |