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→±∞.

MSC2000: Primary 37K15, 37K10; Secondary 47B36, 34L25
Keywords: Inverse scattering, Toda hierarchy, periodic

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