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 20 of 31 for “"Nonlinear waves"”.
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Nonlinear Waves on Extremal Black Hole Spacetimes
… study of the global behaviour of solutions of nonlinear wave equations where the nonlinearity satisfies the null condition on extremal Reissner-Nordstrom black hole spacetimes.Under the assumption of spherical symmetry I show that solutions which arise from sufficiently small compactly …
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Lagrangian modelling of nonlinear waves in optical fibres
The Lagrangian perturbation method for the NLS is revisited in the form of an equivalent direct problem. The analogy can be extended to arbitrarily perturbed systems. It is then possible to provide first order perturbation expansions for the fundamental soliton. The case of the damped NLS is …
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Nonlinear waves in systems with PT/CP - symmetric potentials
Arguably, one of the most elementary nonlinear lattice dynamical models is the discrete nonlinear Schrödinger (DNLS) equation [1]. Particularly, the discrete system and lattice solitons are the main objects of investigation in this work. In this thesis, we consider a chain of dimers, that is …
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Nonlinear waves in a channel--three-dimensional and rotational effects
Thesis (Sc. D.)--Massachusetts Institute of Technology, Dept. of Civil Engineering, 1991.
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Nonlinear waves on the surface of a radially flowing film
Thesis: M.S., Massachusetts Institute of Technology, Department of Mechanical Engineering, 1992
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A hybrid model for large scale simulation of unsteady nonlinear waves
A hybrid model for simulating rogue waves in random seas on a large time and space scale is proposed in this thesis. It is formed by combining the derived fifth order Enhanced Nonlinear Schrödinger Equation based on Fourier transform (ENLSE-5F), the fully nonlinear Enhanced Spectral Boundary …
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Experimental and theoretical study of turbulent oscillatory boundary layers
… velocity profiles in the presence of sinusoidal waves indicate a two-log-profile structure suggested by the widely-used Grant-Madsen model. However, for weak currents in the presence of nonlinear waves, the two-log-profile structure is contaminated or even totally obliterated by the boundary …
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Features of nonlinear wave-wave and wave-body interactions
Although nonlinear water waves have been the subject of decades of research, there are many problems that remain unsolved, especially in the cases when one or more of the following factors are involved: high-order nonlinear effects, moving boundaries, wavestructure interactions and complicated …
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The stability and control of curved liquid jet break-up
… the full uses and limitations of the linear and nonlinear models. A local stability analysis has been developed which can be used to investigate jet stability at any point on the jet at any time. The use of this model concerning break-up of a ligament and short wave generation at break-up is …
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The stability and control of curved liquid jet break-up
… the full uses and limitations of the linear and nonlinear models. A local stability analysis has been developed which can be used to investigate jet stability at any point on the jet at any time. The use of this model concerning break-up of a ligament and short wave generation at break-up is …
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Nonlinear acoustics in the presence of an object with sum or difference frequency sensing
A general and complete second-order theory of nonlinear acoustics in the presence of an object is derived and shown to be consistent with experimental measurements. The total second-order field occurs at sum or difference frequencies of the primary fields and naturally breaks into (A) nonlinear …
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Electromagnetic waves in nonlinear and linear magnetooptic metamaterials
… the world of metamaterials, and the way in whichwaves propagate within them. It begins with an introduction to metamaterials, thatincludes a generic definition and a fascinating array of models are outlined. An emphasisis placed on the nonlinear properties of metamaterials and their soliton …
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Nonlinear diffraction and refraction of regular and random waves
… and diffraction of infinitesimal water waves, for it reduces the spatial dimension of the linear boundary value problem from three to two. We extend this approximation to nonlinear waves up to the second order in wave steepness, in order to simplify the inherently three-dimensional task. …
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Simulation and design optimization for linear wave phenomena on metamaterials
… of problems can be found: those involving linear waves and those involving nonlinear waves. The former have been widely studied and analyzed within the last few years and many interesting results have been found: cloaking devices, superlensing, fiber optics The latter is a topic of high interest …
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Strongly Nonlinear Phenomena and Singularities in Optical, Hydrodynamic and Biological Systems
… formation is an inherent feature of equations in nonlinear physics, in many situations such as in self-focusing of light nonlinearity is essential part of the model and physical events cannot be captured by linearized equations. There are nonlinear systems, such as $1$D NLSE where singularities in …
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Hydroelastic stability and wave propagation in fluid-filled channels
… to investigate the stability and propagation of waves in various fluid-filled elastic-walled channels. In Chapter 2 a linear temporal stability analysis is performed for various channel wall configurations, the results of which are compared to determine how different physical effects contribute …
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Hydroelastic stability and wave propagation in fluid-filled channels
… to investigate the stability and propagation of waves in various fluid-filled elastic-walled channels. In Chapter 2 a linear temporal stability analysis is performed for various channel wall configurations, the results of which are compared to determine how different physical effects contribute …
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Discrete Nonlinear Wave Propagation In Kerr Nonlinear Media
… this class of systems since the late 1960's. Nonlinear discrete optics has received a considerable amount of interest in the last few years, triggered by the experimental realization of discrete solitons in a Kerr nonlinear AlGaAs waveguide array by H. Eisenberg and coworkers in 1998. In this …
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Analysis and Experimental Investigation of Wave Propagation and Energy Transfer in Mechanical Rotator Metamaterials
… and manipulating the propagation of waves and energy transfer in engineered materials characterized by periodic arrangements of unit cells. This organized arrangement governs wave behavior, imparting dispersive characteristics and frequency band structures, thereby inspiring the …
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