Bulletin of the American Mathematical Society

Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach

Author(s): Fritz Gesztesy; Rudi Weikard
Journal: Bull. Amer. Math. Soc. 35 (1998), 271-317.
MSC (1991): Primary 34L40, 35Q53, 35Q55; Secondary 34B30, 34L05, 35Q51
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Abstract: We provide an overview of elliptic algebro-geometric solutions of the KdV and AKNS hierarchies, with special emphasis on Floquet theoretic and spectral theoretic methods. Our treatment includes an effective characterization of all stationary elliptic KdV and AKNS solutions based on a theory developed by Hermite and Picard.

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Retrieve articles in Bulletin of the American Mathematical Society with MSC (1991): 34L40, 35Q53, 35Q55, 34B30, 34L05, 35Q51

Fritz Gesztesy
Affiliation: Department of Mathematics, University of Missouri, Columbia, MO 65211
Email: fritz@math.missouri.edu

Rudi Weikard
Affiliation: Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294-1170
Email: rudi@math.uab.edu

DOI: 10.1090/S0273-0979-98-00765-4
PII: S 0273-0979(98)00765-4
Received by editor(s): May 20, 1998, and in revised form August 10, 1998
Additional Notes: Research supported in part by the US National Science Foundation under Grant Nos. DMS-9401816 and DMS-9623121.
Copyright of article: Copyright 1998, by the authors

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