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arxiv: solv-int/9901008 · v1 · submitted 1999-01-23 · solv-int · nlin.SI

Darboux-type transformations and hyperelliptic curves

classification solv-int nlin.SI
keywords curvesdarboux-typehierarchieshyperelliptictransformationsaccountaknsalgebro-geometric
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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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