Darboux-type transformations and hyperelliptic curves

Details Darboux-type transformations and hyperelliptic curves Darboux-type transformations and hyperelliptic curves

1999-01-23

arxiv.org/abs/solv-int/9901008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 27 pages

Scientific paper

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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