Перегляд за автором "Egorova, I."

Сортувати за: Порядок: Результатів:

  • A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation 
    Egorova, I.; Tesch, l G. (Журнал математической физики, анализа, геометрии, 2010)
    A one-dimensional SchrÄodinger operator which is a short-range perturbation of a finite-gap operator is considered. There are given the necessary and su±cient conditions on the left/right reflection coeffcient such that ...
  • Inverse Scattering Theory for Schrödinger Operators with Steplike Potentials 
    Egorova, I.; Gladka, Z.; Lange, T.L.; Teschl, G. (Журнал математической физики, анализа, геометрии, 2015)
    We study the direct and inverse scattering problem for the one-dimensional Schrödinger equation with steplike potentials. We give necessary and sufficient conditions for the scattering data to correspond to a potential ...
  • Long-Time Asymptotics for the Toda Shock Problem: Non-Overlapping Spectra 
    Egorova, I.; Michor, J.; Teschl, G. (Журнал математической физики, анализа, геометрии, 2018)
    We derive the long-time asymptotics for the Toda shock problem using the nonlinear steepest descent analysis for oscillatory Riemann-Hilbert factorization problems. We show that the half-plane of space/time variables splits ...
  • On the Form of Dispersive Shock Waves of the Korteweg-de Vries Equation 
    Egorova, I.; Gladka, Z.; Teschl, G. (Журнал математической физики, анализа, геометрии, 2016)
    We show that the long-time behavior of solutions to the Korteweg{de Vries shock problem can be described as a slowly modulated one-gap solution in the dispersive shock region. The modulus of the elliptic function (i.e., ...
  • On the Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data Associated with Rarefaction Waves 
    Andreiev, K.; Egorova, I. (Журнал математической физики, анализа, геометрии, 2017)
    We discuss an asymptotical behavior of the rarefaction wave for the KdV equation in the region behind the wave front. The first and the second terms of the asymptotical expansion for such a solution with respect to large ...
  • Scattering Theory for Jacobi Operators with General Step-Like Quasiperiodic Background 
    Egorova, I.; Michor, J.; Teschl, G. (Журнал математической физики, анализа, геометрии, 2008)
    We develop direct and inverse scattering theory for Jacobi operators with step-like coeffcients which are asymptotically close to different finite-gap quasiperiodic coeffcients on di erent sides. We give a complete ...