F. Gesztesy, R. Svirsky
(m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions
(216K, amslatex)

ABSTRACT.  Using commutation methods we present a general formalism to construct
Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) N-soliton
solutions relative to arbitrary (m)KdV background solutions. As an
illustration of these techniques we combine them with algebro-geometric
methods and Hirota's \tau-function approach to systematically derive the
(m)KdV N-soliton solutions on quasi-periodic finite-gap  backgrounds.
(Memoirs of the Amer. Math. Soc., to appear)