Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds
I. Egorova, J. Michor, and G. Teschl
Keywords: Inverse scattering, Toda hierarchy, periodic.
Abstract: 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 solutions as n→±∞.
MSC: Primary 37K15, 37K10; Secondary 47B36, 34L25.