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.
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Master of Science (M.S.)
College of Sciences
Length of Campus-only Access
Masters Thesis (Campus-only Access)
Bosch, Teresa, "Characterizing Nearby States of the Stokes Wave Solution of the Nonlinear Schrodinger Equation" (2022). Electronic Theses and Dissertations, 2020-. 1180.
Restricted to the UCF community until August 2027; it will then be open access.