Darboux-type transformations and hyperelliptic curves

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.

LaTeX, 27 pages

References in corpus (2)

• An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
• Dubrovin equations and integrable systems on hyperelliptic curves