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Elliptic Algebro-Geometric Solutions of the KdV and AKNS Hierarchies - An Analytic Approach

Fritz Gesztesy·Rudi Weikard
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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.

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BibTeXRIS

Fritz Gesztesy, Rudi Weikard. 1998-08-31. Elliptic Algebro-Geometric Solutions of the KdV and AKNS Hierarchies - An Analytic Approach. https://arxiv.org/abs/solv-int/9809005

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