Abstract
Modulational instability occurs when small perturbations of a solution lead to exponential growth of the side bands. One equation used for studying modulational instability is the Nonlinear Schrodinger (NLS) equation. The NLS is a completely integrable nonlinear PDE which possesses a large class of unstable solutions. The simplest modulationally unstable solution of the NLS is the Stokes wave. In this thesis, we review the work of Ablowitz and Schober and explore the nearby states to the modulationally unstable plane wave.
Notes
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Graduation Date
2022
Semester
Summer
Advisor
Schober, Constance
Degree
Master of Science (M.S.)
College
College of Sciences
Department
Mathematics
Degree Program
Mathematical Science
Identifier
CFE0009151; DP0026747
URL
https://purls.library.ucf.edu/go/DP0026747
Language
English
Release Date
August 2027
Length of Campus-only Access
5 years
Access Status
Masters Thesis (Campus-only Access)
STARS Citation
Bosch, Teresa, "Characterizing Nearby States of the Stokes Wave Solution of the Nonlinear Schrodinger Equation" (2022). Electronic Theses and Dissertations, 2020-2023. 1180.
https://stars.library.ucf.edu/etd2020/1180
Restricted to the UCF community until August 2027; it will then be open access.