Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 8 of 8 for “"Modulational Instability"”.
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Modulational instability in some shallow water wave models
Modulational or Benjamin-Feir instability is a well known phenomenon of Stokes' periodic waves on the water surface. In this dissertation, we study this phenomenon for periodic traveling wave solutions of various shallow water wave models. We study the spectral stability or instability with respect …
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Study of directional ocean wavefield evolution and rogue wave occurrence using large-scale phase-resolved nonlinear simulations
… narrow-directional-spreading wavefields, we find modulational instability develops over short time, resulting in considerable spectral broadening, strongly non-Gaussian statistics and probability of rogue wave occurrence an order of magnitude higher than linear theory prediction. For longer time, …
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Modeling of nonlinear ultrashort optical pulse propagation
… a number of effects, particularly that of modulational instability in Kagome-type hollow-core photonic crystal fibers.
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Stable Spatial Solitons In Semiconductor Optical Amplifiers
… and theoretically. The formation of filaments or modulational instability has been studied theoretically and yielded analytical formulae for evaluating the filament gain and the maximum spatial frequencies in PPSOA devices. Furthermore, discrete array amplifiers have been analyzed numerically for …
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Discrete Wave Propagation In Quadratically Nonlinear Media
… of the discrete solitons and plane waves (modulational instability) are experimentally investigated. In the last part of the dissertation, a phase-insensitive, ultrafast, all-optical spatial switching and frequency conversion device based on quadratic waveguide array is demonstrated. …
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On three-dimensional internal wavepackets, beams, and mean flows in a stratified fluid
… the roles that they play in wave evolution and instability. Our results indicate that internal waves with three-dimensional variations behave in very different ways than their two-dimensional counterparts. Most notably, in all three types of waves we consider, three-dimensional variations are …
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Unstable stokes waves in constant vorticity flows
Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2026-12-01
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Stability of periodic solutions to nonlinear Klein-Gordon equations
We study the stability of periodic travelling wave solutions to nonlinear Klein-Gordon equations, subject to small and localized perturbations. Using the periodic Evans function technique, we analyze the spectrum of a linearized quadratic eigenvalue pencil associated with the linearized equation, …