J. Math. Phys. 50, 103521 (2009) [DOI: 10.1063/1.3239507]
Inverse Scattering Transform for the Toda Hierarchy with Steplike Finite-Gap Backgrounds
Iryna Egorova, Johanna Michor, and 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 solutions as n→±∞.