Inverse scattering transform for the Toda hierarchy with quasi-periodic background

Proc. Amer. Math. Soc. 135, 1817-1827 (2007).
[PII: S 0002-9939(06)08668-0]

Inverse scattering transform for the Toda hierarchy with quasi-periodic background

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 in the case of a quasi-periodic finite-gap background solution.

MSC: Primary 37K15, 37K10; Secondary 47B36, 34L25.

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ESI Preprint 1751
arXiv:nlin/0512003v1

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