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

Bulletin of the American Mathematical Society, ISSN: 0273-0979, Vol: 35, Issue: 4, Page: 271-317
1998
  • 61
    Citations
  • 0
    Usage
  • 15
    Captures
  • 0
    Mentions
  • 0
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    61
    • Citation Indexes
      61
  • Captures
    15

Article Description

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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