Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations
Master Thesis
2003
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University of Cape Town
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Abstract
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.
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Includes bibliographical references.
Reference:
Cross, S. 2003. Localised solutions of the parametrically driven Ginzburg-Landau and nonlinear Schrӧdinger equations. University of Cape Town.