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Dissertations / Theses on the topic 'Nonlinear wave theories'

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1

Girard, Réjean. "Relativistic nonlinear wave equations with groups of internal symmetry." Thesis, McGill University, 1988. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=75688.

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A nonlinear wave equation invariant with respect to unitary representations of the Lorentz group is considered in an attempt to describe extended particles with spin and positive definite energy by means of a self-confined classical field. The wave function has an infinite number of components and, in the specific representations used, the corresponding internal degree of freedom is identified with the spin. A fractional power of the scalar bilinear invariant appears as an appropriate choice for the nonlinearity in order that all the stationary states be localized. Two approximation methods ar
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2

Hoseini, Sayed Mohammad. "Solitary wave interaction and evolution." Access electronically, 2007. http://www.library.uow.edu.au/adt-NWU/public/adt-NWU20080221.110619/index.html.

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3

Kim, Won-Gyu 1962. "A Study of Nonlinear Dynamics in an Internal Water Wave Field in a Deep Ocean." Thesis, University of North Texas, 1996. https://digital.library.unt.edu/ark:/67531/metadc278092/.

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The Hamiltonian of a stably stratified incompressible fluid in an internal water wave in a deep ocean is constructed. Studying the ocean internal wave field with its full dynamics is formidable (or unsolvable) so we consider a test-wave Hamiltonian to study the dynamical and statistical properties of the internal water wave field in a deep ocean. Chaos is present in the internal test-wave dynamics using actual coupling coefficients. Moreover, there exists a certain separatrix net that fills the phase space and is covered by a thin stochastic layer for a two-triad pure resonant interaction. The
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4

Narisetti, Raj K. "Wave propagation in nonlinear periodic structures." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/39643.

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A periodic structure consists of spatially repeating unit cells. From man-made multi-span bridges to naturally occurring atomic lattices, periodic structures are ubiquitous. The periodicity can be exploited to generate frequency bands within which elastic wave propagation is impeded. A limitation to the linear periodic structure is that the filtering properties depend only on the structural design and periodicity which implies that the dispersion characteristics are fixed unless the overall structure or the periodicity is altered. The current research focuses on wave propagation in nonlinear
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5

Franz, David, and University of Lethbridge Faculty of Arts and Science. "Turing patterns in linear chemical reaction systems with nonlinear cross diffusion." Thesis, Lethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 2007, 2007. http://hdl.handle.net/10133/659.

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Turing patterns have been studied for over 50 years as a pattern forming mechanism. To date the current focus has been on the reaction mechanism, with little to no emphasis on the diffusion terms. This work focuses on combining the simplest reaction mechanism possible and the use of nonlinear cross diffusion to form Turing patterns. We start by using two methods of bifurcation analysis to show that our model can form a Turing instability. A diffusion model (along with some variants) is then presented along with the results of numerical simulations. Various tests on both the numerical methods a
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6

Kuechler, Sebastian. "Wave Propagation in an Elastic Half-Space with Quadratic Nonlinearity." Thesis, Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/19823.

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This study investigates wave propagation in an elastic half-space with quadratic nonlinearity due to a line load on the surface. The consideration of this problem is one of the well known Lamb problems. Even since Lamb's original solution, numerous investigators have obtained solutions to many different variants of the Lamb problem. However, most of the solutions existing in the current literature are limited to wave propagation in a linear elastic half-space. In this work, the Lamb problem in an elastic half-space with quadratic nonlinearity is considered. For this, the problem is first formu
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7

Kupčíková, Laura. "Částice plovoucí na volné hladině vln." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-444637.

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This master’s thesis deals with analytical and numerical description of surface gravity waves. Wave theories and their influence on water particle movement is described in the theoretical part of the thesis. Water particle moves in the same direction as wave propagation and this phenomenon is called Stokes drift. It has a significant influence on sediment transport and floating particle movement at water free surface. The experimental part consists of wave profile monitoring and water particle tracking in a wave flume with wave generator and beach model. The experimental results are compared w
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8

Braun, Michael Rainer. "Characterization of nonlinearity parameters in an elastic material with quadratic nonlinearity with a complex wave field." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/26566.

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Thesis (M. S.)--Civil and Environmental Engineering, Georgia Institute of Technology, 2009.<br>Committee Chair: Jacobs, Laurence; Committee Co-Chair: Qu, Jianmin; Committee Member: DesRoches, Reginald. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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9

Aceves, Alejandro Borbolla. "Snell's laws at the interface between nonlinear dielectrics." Diss., The University of Arizona, 1988. http://hdl.handle.net/10150/184467.

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A theory is presented which describes the global reflection and transmission characteristics of a self-focused channel propagating at an oblique angle of incidence to an interface separating two or more self-focusing nonlinear dielectric media. A complete characterization of the different behavior of the channel is given in the proper parameter space. In the dominant region, the nonlinear wavepacket representing the self-focused channel is represented as an equivalent particle moving in an equivalent potential. The dynamics of the particle is described by Newton's equations of motion, with the
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10

Ohm, Won-suk. "Effects of dispersion on nonlinear surface acoustic waves in substrates laminated with films /." Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3038194.

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11

Vorpe, Katherine. "Understanding a Population Model for Mussel-Algae Interaction." Wittenberg University Honors Theses / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=wuhonors1617970789779916.

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12

"study of wave propagation in nonlinear dielectric multilayer system =: 電磁波於多層非線性電介質系統內傳播之硏究". 1999. http://library.cuhk.edu.hk/record=b5890076.

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by Leung, Kwok Kong.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.<br>Includes bibliographical references (leaves 67).<br>Text in English; abstracts in English and Chinese.<br>by Leung, Kwok Kong.<br>Abstract --- p.ii<br>Acknowledgement --- p.iii<br>Contents --- p.iv<br>List of Figures --- p.vi<br>Chapter Chapter 1. --- Introduction --- p.1<br>Chapter Chapter 2. --- Transmittance in Metal-Dielectric Multilayers --- p.4<br>Chapter 2.1 --- Introduction --- p.4<br>Chapter 2.2 --- Transfer matrix approach --- p.5<br>Chapter 2.3 --- Transfer matrix simulation --- p.7<br>Chapt
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13

Chang, Chia-Chin. "Nonlinear theories of forced surface waves in a circular basin." 1999. http://catalog.hathitrust.org/api/volumes/oclc/43274575.html.

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Thesis (Ph. D.)--University of Wisconsin--Madison, 1999.<br>Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 203-205).
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14

Sangeeta, K. "Numerical Simulation Of Converging Nonlinear Wavefronts." Thesis, 1996. https://etd.iisc.ac.in/handle/2005/1901.

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15

Sangeeta, K. "Numerical Simulation Of Converging Nonlinear Wavefronts." Thesis, 1996. http://etd.iisc.ernet.in/handle/2005/1901.

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16

"Nonlinear stability of viscous transonic flow through a nozzle." 2004. http://library.cuhk.edu.hk/record=b5892103.

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Xie Chunjing.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2004.<br>Includes bibliographical references (leaves 65-71).<br>Abstracts in English and Chinese.<br>Acknowledgments --- p.i<br>Abstract --- p.ii<br>Introduction --- p.3<br>Chapter 1 --- Stability of Shock Waves in Viscous Conservation Laws --- p.10<br>Chapter 1.1 --- Cauchy Problem for Scalar Viscous Conservation Laws and Viscous Shock Profiles --- p.10<br>Chapter 1.2 --- Stability of Shock Waves by Energy Method --- p.15<br>Chapter 1.3 --- Nonlinear Stability of Shock Waves by Spectrum Anal- ysis --- p.20<br>Chapter 1
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17

Bruso, Keith Alvin. "Existence, uniqueness and blow-up results for non-linear wave equations." 1985. http://hdl.handle.net/2097/27403.

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