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Dissertations / Theses on the topic 'Schroedinger nonlineaire'

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1

Chevriaux, D. "Supratransmission et bistabilité nonlinéaire dansles milieux à bandes interdites photoniques et électroniques." Phd thesis, Université Montpellier II - Sciences et Techniques du Languedoc, 2007. http://tel.archives-ouvertes.fr/tel-00180987.

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On étudie, dans cette thèse, la diffusion d'ondes dans différents milieux nonlinéaires possédant une bande interdite naturelle. On montre, en particulier, l'existence d'un comportement de bistabilité dans les milieux régis, soit par l'équation de sine-Gordon (chaîne de pendules courte, réseaux de jonctions Josephson, double couches à effet Hall quantique), soit par l'équation de Schrödinger nonlinéaire (milieu Kerr et milieu de Bragg), dans les cas discrets et continus. Ces différents milieux sont soumis à des conditions aux bords périodiques, dont la fréquence est prise dans la bande interdit
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2

Coleman, James. "Blowup phenomena for the vector nonlinear Schroedinger equation." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/NQ63694.pdf.

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3

Jin, Shan. "The semiclassical limit of the defocusing nonlinear Schroedinger flows." Diss., The University of Arizona, 1991. http://hdl.handle.net/10150/185687.

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The Lax-Levermore strategy for analyzing the zero-dispersion limit of the KdV equation through its inverse scattering transform can be adapted to study the semiclassical limits of the defocusing nonlinear Schrodinger (NLS) equation, which are in fact the limits of corresponding conservation laws. The weak limits of all conserved densities and their fluxes can be characterized in terms of the solution of a variational problem that in turn can be solved using function theory. These results rest on a new formula for the N-soliton solutions and a WKB analysis of the semiclassical limit for the dir
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4

Khan, K. B. "The nonlocal-nonlinear-Schroedinger-equation model of superfluid '4He." Thesis, University of Exeter, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.267224.

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5

Schober, Constance Marie. "Numerical and analytical studies of the discrete nonlinear Schroedinger equation." Diss., The University of Arizona, 1991. http://hdl.handle.net/10150/185595.

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Certain conservative discretizations of the Nonlinear Schroedinger (NLS) Equation can produce irregular behavior. We consider the diagonal discretization as a conservative perturbation of the integrable discretization and study the homoclinic crossings in its nonlinear spectrum. We find that irregularity sets in for the two unstable mode regime and, in this case, many and continual homoclinic crossings occur throughout the irregular time series. We undertake an analysis to determine the mechanism that causes the "chaotic" behavior to appear in this conservatively perturbed NLS equation. This a
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6

Cruz-Pacheco, Gustavo. "The nonlinear Schroedinger limit of the complex Ginzburg-Landau equation." Diss., The University of Arizona, 1995. http://hdl.handle.net/10150/187238.

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This work consists of a study of the complex Ginzburg-Landau equation (CGL) as a perturbation of the nonlinear Schrodinger equation (NLS) in one dimension under periodic boundary conditions. Using an averaging technique which is similar to a Melnikov method for pde's, necessary conditions are derived for the persistence of NLS solutions under the CGL perturbation. For the traveling wave solutions, these conditions are derived for a general nonlinearity and written explicitly as two equations for the two continuous parameters which determine the NLS traveling wave. It is shown using a Melnikov
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7

Shipman, Stephen Paul 1968. "A continuum limit of a finite discrete nonlinear Schroedinger system." Diss., The University of Arizona, 1997. http://hdl.handle.net/10150/288763.

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A continuum limit of a discrete nonlinear Schrodinger system of ordinary differential equations is analyzed. The central question is the relation between the solution of the formally derived limiting system of partial differential equations and the limiting behavior of the solutions to the discrete systems. By setting appropriate boundary conditions on the initial data, a finite subchain decouples, and this system is known to be integrable and solvable by an inverse spectral method. In this thesis, it is found that subunitary data give rise to eigenvalues which are unitary and weighting consta
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8

Dodson, Benjamin Taylor Michael Eugene. "Caustics and the indefinite signature Schroedinger equation linear and nonlinear /." Chapel Hill, N.C. : University of North Carolina at Chapel Hill, 2009. http://dc.lib.unc.edu/u?/etd,2306.

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Thesis (Ph. D.)--University of North Carolina at Chapel Hill, 2009.<br>Title from electronic title page (viewed Jun. 26, 2009). "... in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Mathematics." Discipline: Mathematics; Department/School: Mathematics.
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9

Barran, Sunil Kumar. "Modulation of the harmonic soliton solutions for the defocusing nonlinear Schroedinger equation." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ40028.pdf.

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10

Roskey, Daniel Eric. "On the Role of Linear Processes in the Development and Evolution of Filaments in Air." Diss., The University of Arizona, 2007. http://hdl.handle.net/10150/194509.

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It is well known that ultrashort, high intensity pulses with peak powers exceedinga certain critical value (Pcr) undergo self-focusingleading to collapse and filamentation. During the initial stagesof propagation at low intensities the beamdynamics are dominated by diffraction and dispersion. During filamentation, self-focusing resulting from the nonlinear Kerr effect is balanced by higher order nonlinearities such as plasma induced defocusing and absorption.This work examines the role that linear processes combined with initial spatial and temporal conditioningplay in the generation and sub
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11

Witt, Andy [Verfasser]. "Inducing Predefined Nonlinear Rogue Waves on Basis of Breather Solutions : Using Analytical Solutions of the Nonlinear Schroedinger Equation / Andy Witt." Berlin : epubli, 2019. http://d-nb.info/1192098285/34.

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12

Mancin, Fabio. "Ultra short solutions of a higher order nonlinear Schroedinger equation stability and applicability in dispersion managed systems /." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=970076428.

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13

Shkarayev, Maxim. "Effects of Nonlinearity and Disorder in Communication Systems." Diss., The University of Arizona, 2008. http://hdl.handle.net/10150/194744.

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In this dissertation we present theoretical and experimental investigation of the performance quality of fiber optical communication systems, and find new and inexpansive ways of increasing the rate of theinformation transmission.The first part of this work discuss the two major factors limiting the quality of information channels in the fiber optical communication systems. Using methods of large deviation theory from statisticalphysics, we carry out analytical and numerical study of error statistics in optical communication systems in the presence of the temporal noise from optical amplifiers
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14

Walker, Ryan D. "ON A PALEY-WIENER THEOREM FOR THE ZS-AKNS SCATTERING TRANSFORM." UKnowledge, 2013. http://uknowledge.uky.edu/math_etds/9.

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In this thesis, we establish an analog of the Paley-Wiener Theorem for the ZS-AKNS scattering transform on a set of real potentials. We also demonstrate one application of our techniques to the study of an inverse spectral problem for a half-line Miura potential Schroedinger equation.
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15

Ortoleva, Cecilia Maria. "Asymptotic properties of the dynamics near stationary solutions for some nonlinear Schrödinger équations." Phd thesis, Université Paris-Est, 2013. http://tel.archives-ouvertes.fr/tel-00825627.

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The present thesis is devoted to the investigation of certain aspects of the large time behavior of the solutions of two nonlinear Schrödinger equations in dimension three in some suitable perturbative regimes. The first model consist in a Schrödinger equation with a concentrated nonlinearity obtained considering a {point} (or contact) interaction with strength $alpha$, which consists of a singular perturbation of the Laplacian described by a self adjoint operator $H_{alpha}$, and letting the strength $alpha$ depend on the wave function: $ifrac{du}{dt}= H_alpha u$, $alpha=alpha(u)$.It is well-
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16

Lindgren, Joseph B. "Orbital Stability Results for Soliton Solutions to Nonlinear Schrödinger Equations with External Potentials." UKnowledge, 2017. http://uknowledge.uky.edu/math_etds/46.

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For certain nonlinear Schroedinger equations there exist solutions which are called solitary waves. Addition of a potential $V$ changes the dynamics, but for small enough $||V||_{L^\infty}$ we can still obtain stability (and approximately Newtonian motion of the solitary wave's center of mass) for soliton-like solutions up to a finite time that depends on the size and scale of the potential $V$. Our method is an adaptation of the well-known Lyapunov method. For the sake of completeness, we also prove long-time stability of traveling solitons in the case $V=0$.
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17

Rapti, Zoi. "Modulational instabilities of perturbed nonlinear Schroedinger-type equations." 2004. https://scholarworks.umass.edu/dissertations/AAI3152738.

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In this thesis we examine the stability thresholds for nonlinear Schrödinger-type equations. We use variational techniques to rederive the modulational instability criterion in the case with cubic nonlinearity, considering the equation as a finite dimensional dynamical system. We proceed to the analysis of the case where we have a potential; which is either linear, V( x,t) = −αx, using a Tappert transformation, or quadratic, V(x,t) = −k (t)x2, using a lens-type transformation to eliminate the potential. Also, the cases of time dependent coefficient of the dispersive term and strength of the no
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18

"On the existence and concentration of solutions to nonlinear Schroedinger equations." Tulane University, 1995.

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What are the roles of two competing potential functions $V(x)$ and $K(x)$ in the process of concentration for ground state solutions of an elliptic equation $h\sp2\Delta u-V(x)u+ K(x)\vert u\vert\sp{p-1}u=0,x\in R\sp{n}$ arising in the study of standing wave solutions to nonlinear Schrodinger equations? This is the motivating question and one of the questions this dissertation answers. After a careful analysis of movement of the energy, the existence and concentration behaviors of ground states are established and an explicit formula for the concentration points are found. Then the variational
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19

Eisner, Adam. "A numerical exploration of the statistical behavior of the discretized nonlinear Schroedinger equation." 2004. https://scholarworks.umass.edu/dissertations/AAI3152688.

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In this dissertation, we consider the equilibrium as well as near-equilibrium statistical behavior of the discretized nonlinear Schrödinger equation (NLS). We create a modified version of the Metropolis algorithm for generating empirical distributions that approximate the mixed ensemble Gibbs distribution for the NLS. The mixed ensemble is canonical in energy and microcanonical in particle number invariant. After generating and analyzing many such empirical distributions spanning a full range of equilibrium behaviors, we study their near-equilibrium responses to perturbations via linear respon
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20

Law, Kody John Hoffman. "Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials." 2010. https://scholarworks.umass.edu/open_access_dissertations/179.

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The focus of this dissertation is the existence, stability, and resulting dynamical evolution of localized stationary solutions to Nonlinear Schr¨odinger (NLS) equations with periodic confining potentials in 2(+1) dimensions. I will make predictions about these properties based on a discrete lattice model of coupled ordinary differential equations with the appropriate symmetry. The latter has been justified by Wannier function expansions in a so-called tight-binding approximation in the appropriate parametric regime. Numerical results for the full 2(+1)-D continuum model will be qualitatively
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21

Mancin, Fabio [Verfasser]. "Ultra short solutions of a higher order nonlinear Schroedinger equation : stability and applicability in dispersion managed systems / vorgelegt von Fabio Mancin." 2004. http://d-nb.info/970076428/34.

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