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Darboux-type transformations and hyperelliptic curves

Fritz Gesztesy·Helge Holden
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Abstract

We systematically study Darboux-type transformations for the KdV and AKNS hierarchies and provide a complete account of their effects on hyperelliptic curves associated with algebro-geometric solutions of these hierarchies.

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Fritz Gesztesy, Helge Holden. 1999-01-23. Darboux-type transformations and hyperelliptic curves. https://arxiv.org/abs/solv-int/9901008

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