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Department of Mathematics and Applied Mathematics
Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations
Abstract
dc:description.abstractThis 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.
Degree
thesis:*- Grantor dc:publisher.institution
- Department of Mathematics and Applied Mathematics
- Year dc:date.issued
- 2003
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Cross, Simon
- Advisor dc:contributor.advisor
-
- Barashenkov, Igor
Rights
- Language dc:language.iso
- eng
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/11427/4876
- OAI identifier oai:identifier
- oai:open.uct.ac.za:11427/4876