27 citations · 65 across the 3 of their papers we have counts for
3 papers
nlin.SI2009★ 23 cited
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…
nlin.SI2009★ 15 cited
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…
nlin.SI2005★ 27 cited
Inverse Scattering Transform for the Toda Hierarchy with Quasi-Periodic Background
Iryna Egorova, Johanna Michor, Gerald Teschl
We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy in the case of a quasi-periodic finite-gap background solution.