Darboux-type transformations and hyperelliptic curves

Authors
Gesztesy, F Holden, H
Citation
F. Gesztesy et H. Holden, Darboux-type transformations and hyperelliptic curves, J REIN MATH, 527, 2000, pp. 151-183
Citations number
59
Categorie Soggetti
Mathematics
Journal title
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
ISSN journal
00754102 → ACNP
Volume
527
Year of publication
2000
Pages
151 - 183
Database
ISI
SICI code
0075-4102(20001031)527:<151:DTAHC>2.0.ZU;2-A
Abstract
We systematically study Darboux-type transformations for the KdV and AKNS h ierarchies and provide a complete account of their effects on hyperelliptic curves associated with algebro-geometric solutions of these hierarchies.