53 citations · 66 across the 2 of their papers we have counts for
2 papers
nlin.SI2016★ 53 cited
Rarefaction Waves of the Korteweg-de Vries Equation via Nonlinear Steepest Descent
Kyrylo Andreiev, Iryna Egorova, Till Luc Lange +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 leading to a rarefaction wave. I…
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…