Search for dissertations about: "discrete nonlinear Schrödinger equation"

Showing result 1 - 5 of 7 swedish dissertations containing the words discrete nonlinear Schrödinger equation.

  2. 1. Nonlinear localization in discrete and continuum systems : applications for optical waveguide arrays

    Author : Michael Öster; Linköpings universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP;

    Abstract : An introcludion to the formation of coherent structures in spatially discrete and continuous systems is given. Of special interest is the phenomenon of nonlinear localization, where the self-focusing of an excitation is balanced by a dispersive process. READ MORE

  4. 2. Comparisons between classical and quantum mechanical nonlinear lattice models

    Author : Peter Jason; Magnus Johansson; Jonas Larson; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Discrete Breathers; Bose-Einstein-Condensation; Instabilities; Oscillatory Instabilities; Classical-Quantum correspondence; Bose-Hubbard model; DNLS; discrete nonlinear Schrödinger equation; nonlinear; nonlinear lattice models; compacton;

    Abstract : In the mid-1920s, the great Albert Einstein proposed that at extremely low temperatures, a gas of bosonic particles will enter a new phase where a large fraction of them occupy the same quantum state. This state would bring many of the peculiar features of quantum mechanics, previously reserved for small samples consisting only of a few atoms or molecules, up to a macroscopic scale. READ MORE

  5. 3. Energy-conservative finite element methods for nonlinear Schrödinger equations

    Author : Johan Wärnegård; Patrick Henning; Xavier Antoine; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics; Numerical Analysis; Numerisk analys;

    Abstract : This thesis is devoted to numerical methods for nonlinear Schrödingerequations (NLSEs). These equations have applications in a variety offields such as optics, fluid dynamics, solid-state physics and, of course,quantum mechanics. Notably, the cubic NLSE describes the dynamics of Bose-Einstein condensates. READ MORE

  6. 4. Stability and Mobility of Localized and Extended Excitations in Nonlinear Schrödinger Models

    Author : Michael Öster; Magnus Johansson; Sergej Flach; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Non-linear dynamics; chaos; Icke-linjär dynamik; kaos;

    Abstract : This thesis is mainly concerned with the properties of some discrete nonlinear Schrödinger equations. These naturally arise in many different physical contexts as the limiting form of general dynamical lattice equations that incorporate nonlinearity and coupling. READ MORE

  7. 5. Contributions to the Study of Nonlinear Optics

    Author : Mats Desaix; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

    Abstract : Nonlinear optics, the study of how high intensity light propagates through and interacts with matter, is a subject which is rich in scientific problems and offers many technologically important applications. In this thesis, a number of physical and mathematical problems concerning nonlinear Kerr media are addressed. READ MORE