95-171 F. Gesztesy, R. Svirsky
(m)KdV Solitons on the Background of Quasi-Periodic Finite-Gap Solutions (216K, amslatex) Mar 29, 95
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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)

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