281 citations · 881 across the 12 of their papers we have counts for
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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…
nlin.SI2008★ 139 cited
Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent
Katrin Grunert, Gerald Teschl
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg-de Vries equation for decaying initial data in the soliton and similarity reg…
nlin.SI2008★ 49 cited
Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited
Helge Krueger, Gerald Teschl
The purpose of this article is to give a streamlined and self-contained treatment of the long-time asymptotics of the Toda lattice for decaying initial data in the soliton and in t…