Proc. Amer. Math. Soc. 135, 1817-1827 (2007) [DOI: 10.1090/S0002-9939-06-08668-0]

Inverse Scattering Transform for the Toda Hierarchy with Quasi-Periodic Background

Iryna Egorova, Johanna Michor, and 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.

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

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