Search for dissertations about: "Nonlinear wave equations"
Showing result 1 - 5 of 47 swedish dissertations containing the words Nonlinear wave equations.
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1. Geometric Methods for some Nonlinear Wave Equations
Abstract : A number of results related to the geometric interpretation of some dispersive nonlinear wave equations are presented. It is first described how some well-known shallow water equations arise geometrically as Euler equations for the geodesic flow on the Virasoro group endowed with certain right-invariant metrics. READ MORE
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2. Aspects of Wave Interaction in Nonlinear Media
Abstract : Selected aspects of various types of nonlinear wave interaction are investigated. These aspects are studied in terms of models described by Nonlinear Schrödinger equations, mainly analytically and numerically, but also experimentally. READ MORE
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3. Wave Propagation in Structural Elements - Direct and Inverse Problems in the Time Domain
Abstract : The subject of this thesis is direct and inverse wave propagation problems in structural elements. The considered structures are beams, plates and rods. The models for the beams and the plates are based on linear theory, while the rods are assumed to be nonlinear. The greater part of the work concerns the Timoshenko beam. READ MORE
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4. Nonlinear interaction and propagation of gravitational and electromagnetic waves in plasmas
Abstract : Gravitational waves and electromagnetic waves are important as carriers of energy and information. This thesis is devoted to the study of the propagation and interaction of these waves in plasmas, with emphasis on nonlinear effects and applications within astrophysics. READ MORE
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5. Transient waves in nonstationary media : with applications to lightning and nonlinear media
Abstract : Propagation of transient waves in nonstationary, inhomogeneous, dispersive, stratified media is considered. Waves originating from sources exterior to the scatterer as well as from internal sources are treated. Algorithms are developed and illustrated by computations of wave phenomena in stationary, nonstationary and weakly nonlinear media. READ MORE