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Department of Mathematics and Applied Mathematics
Parametrically driven dark solitons
Abstract
dc:description.abstractThis 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.
Degree
thesis:*- Grantor dc:publisher.institution
- Department of Mathematics and Applied Mathematics
- Year dc:date.issued
- 2004
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Woodford, S R
Rights
- Language dc:language.iso
- eng
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/11427/4946
- OAI identifier oai:identifier
- oai:open.uct.ac.za:11427/4946