Parametrically driven dark solitons

Master Thesis

2004

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http://hdl.handle.net/11427/4946
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thesis_sci_2004_woodford_sr.pdf (5.39 MB)
Authors
Woodford, S R
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University of Cape Town

Department
Department of Mathematics and Applied Mathematics
Faculty
Faculty of Science
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Abstract
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.
Description

Includes bibliographical references (leaves 120-127).

Keywords
Mathematics and Applied Mathematics

Reference:

Woodford, S. 2004. Parametrically driven dark solitons. University of Cape Town.

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