On Existence and Uniqueness Results for some Nonlinear Schrödinger equations

Bachelor thesis (2023)

Authors

J.S. Eenhoorn Applied Sciences

Contributors

M.V. Gnann Analysis - EEMCS (supervisor 1)
J.M. Thijssen QN/Thijssen Group - AS (supervisor 2)
Faculty
Applied Sciences
Copyright: © 2023 Jasper Eenhoorn
Optics Nonlinear Schrödinger equation Uniqueness Existence Shooting method
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Published Date

19-01-2023

Language

English

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Faculty

Applied Sciences

Abstract

The (nonlinear) behaviour of laser beams can be described with Nonlinear Schrödinger equations (NLS). The purpose of this thesis is to shed light on two mathematical papers that give existence and uniqueness results for an NLS equation called the soliton equation. The contribution is to expand the level of detail with which the analysis and some proofs are presented, and to unify the notation where possible.