Math. Nach. 282, No. 4, 526-539 (2009)

Soliton solutions of the Toda hierarchy on quasi-periodic backgrounds revisited

I. Egorova, J. Michor, and G. Teschl

Keywords: Solitons, Toda hierarchy, periodic, inverse scattering transform.

Abstract: We investigate soliton solutions of the Toda hierarchy on an quasi-periodic finit-gap background by the means of the double commutation method and the inverse scattering transform. In particular, we compute the phase shift caused by a soliton and the connections with scattering data.

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

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ESI Preprint 1846