121 citations · 569 across the 23 of their papers we have counts for
4 papers · 1 filter
On the Cauchy Problem for the modified Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data
Iryna Egorova, Gerald Teschl
We solve the Cauchy problem for the modified Korteweg--de Vries equation with steplike quasi-periodic, finite-gap initial conditions under the assumption that the perturbations hav…
Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds
Iryna Egorova, Johanna Michor, Gerald Teschl
We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy for solutions which are asymptotically close to (in general) different finite-gap…
Trace Formulas for Schroedinger Operators in Connection with Scattering Theory for Finite-Gap Backgrounds
Alice Mikikits-Leitner, Gerald Teschl
We investigate trace formulas for one-dimensional Schroedinger operators which are trace class perturbations of quasi-periodic finite-gap operators using Krein's spectral shift the…
On the Spatial Asymptotics of Solutions of the Toda Lattice
Gerald Teschl
We investigate the spatial asymptotics of decaying solutions of the Toda hierarchy and show that the asymptotic behaviour is preserved by the time evolution. In particular, we show…