Darboux-type transformations and hyperelliptic curves

1999/01/23 by Fritz Gesztesy, Helge Holden, Gesztesy, Fritz +1
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9901008

LaTeX, 27 pages

arxiv created 1999/01/23 · arxiv updated 2009/11/30

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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