98-580 Fritz Gesztesy and Rudi Weikard

Elliptic Algebro-Geometric Solutions of the KdV and AKNS Hierarchies - An Analytic Approach (168K, LaTeX) Aug 31, 98

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Abstract. We provide an overview of elliptic algebro-geometric solutions of the KdV and AKNS hierarchies, with special emphasis on Floquet theoretic and spectral theoretic methods. Our treatment includes an effective characterization of all stationary elliptic KdV and AKNS solutions based on a theory developed by Hermite and Picard. To appear in Bull. A.M.S.

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