Integrable Evolutionary Equations Via Lie Algebras on Hyperelliptic Curves

  • P. Holod
  • T. Skrypnyk
Part of the NATO Science Series book series (NAII, volume 35)


We construct a family of quasi-graded algebras on hyperelliptic curves that admit the Kost ant-Adler scheme. We use them to find new integrable nonlinear evolutionary equations which admit zero-curvature representations.


Hamiltonian System Poisson Bracket Hamiltonian Equation Hyperelliptic Curve Coadjoint Orbit 
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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • P. Holod
    • 1
  • T. Skrypnyk
    • 1
  1. 1.Bogolyubov Institute for Theoretical PhysicsKiev-143Ukraine

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