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Showing 1 to 7 of 7 for “"Nonlinear Schrodinger Equations"”.

  1. Nonhomogeneous Initial Boundary Value Problems for Two-Dimensional Nonlinear Schrodinger Equations

    Ran, YuVirginia Tech2014

    … boundary value problems (IBVPs) of a class of nonlinear Schrodinger equations posed on a half plane R x R+ and on a strip domain R x [0,L] with Dirichlet nonhomogeneous boundary data in a two-dimensional plane. Compared with pure initial value problems (IVPs), IBVPs over part of entire space …

    vt Repository record

  2. Existence and Multiplicity Results on Standing Wave Solutions of Some Coupled Nonlinear Schrodinger Equations

    Tian, Rushun

    utahstate Repository record

  3. Asymptotic Stability of the Ground States of the Nonlinear Schrodinger Equation

    Mizrak, OzgurUniversity of Illinois at Urbana-Champaign2015

    "We consider a class of nonlinear Schrodinger equations in N = 3, 4, 5 space dimensions with an attractive potential. The nonlinearity is local but rather general encompassing for the first time both subcritical and supercritical (in L2( RN )) nonlinearities. We study the asymptotic stability of …

    uiuc Repository record

  4. Boundary Controllability and Stabilizability of Nonlinear Schrodinger Equation in a Finite Interval

    Cui, JingVirginia Tech2017

    The dissertation focuses on the nonlinear Schrodinger equation iu_t+u_{xx}+kappa|u|^2u =0, for the complex-valued function u=u(x,t) with domain t>=0, 0<=x<= L, where the parameter kappa is any non-zero real number. It is shown that the problem is locally and globally well-posed for appropriate …

    vt Repository record

  5. Localisation of Bose-Einstein condensates in optical lattices

    Campbell, RussellUniversity of Strathclyde2018

    … potentials, a discrete model using the Discrete Nonlinear Schrodinger equation. Spatially localised modes, known as lattice solitons in the continuous model, or discrete breathers in the discrete model, can occur and are the focus of this thesis. Theoretical and computational studies of these …

    strathclyde Repository record

  6. Nonlinear photonics with applications in lightwave communications

    Baloch, Umair Ahmed KoraiUniversity of Strathclyde2020

    … doctoral dissertation investigates the use of nonlinear photonics in targeted Lightwave communication applications. Different highly nonlinear optical materials have been considered for the investigation of Lightwave communications data carriers, with a focus on the optical carrier pulsewidth. …

    strathclyde Repository record

  7. Existence and Stability of Solitary Waves for NLS with Defects

    Ramadan, Abba IbrahimUniversity of Kansas2022

    … waves to dispersive partial differential equations and, in particular to nonlinear Schr\"odinger equations with defects nonlinearity. First we identify necessary and sufficient conditions for the existence of appropriately localized waves for the inhomogeneous semi-linear Schr\"odinger …

    ku Repository record