activity
20042022
most citedLong-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data

54 citations · 342 across the 26 of their papers we have counts for

collaborators
Showing 2008Show all

2 papers · 1 filter

nlin.SI2008★ 35 cited

On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations

Iryna Egorova, Katrin Grunert, Gerald Teschl

We solve the Cauchy problem for the Korteweg-de Vries equation with initial conditions which are steplike Schwartz-type perturbations of finite-gap potentials under the assumption…

math.CV2008

Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds

Iryna Egorova, Gerald Teschl

We consider scattering theory for one-dimensional Jacobi operators with respect to steplike quasi-periodic finite-gap backgrounds and show how the transmission coefficient can be r…