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