Elliptic Algebro-Geometric Solutions of the KdV and AKNS Hierarchies - An Analytic Approach

Details Elliptic Algebro-Geometric Solutions of the KdV and AKNS Hierarchies - An Analytic Approach Elliptic Algebro-Geometric Solutions of the KdV and AKNS Hierarchies - An Analytic Approach

1998-08-31

arxiv.org/abs/solv-int/9809005v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 46 pages, to appear in Bull. A.M.S

Scientific paper

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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