13 citations · 24 across the 2 of their papers we have counts for
3 papers
math.SP2015★ 13 cited
Inverse scattering theory for Schrödinger operators with steplike potentials
Iryna Egorova, Zoya Gladka, Till Luc Lange +1
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 scatte…
nlin.SI2015★ 11 cited
On the form of dispersive shock waves of the Korteweg-de Vries equation
Iryna Egorova, Zoya Gladka, Gerald Teschl
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…
nlin.SI2012
Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data
Iryna Egorova, Zoya Gladka, Volodymyr Kotlyarov +1
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg-de Vries equation with steplike initial data.