Bihamiltonian Manifolds And Sato’s Equations

  • Paolo Casati
  • Franco Magri
  • Marco Pedroni
Part of the Progress in Mathematics book series (PM, volume 115)


This paper is a concise introduction to Sato’s equations from the point of view of Hamiltonian mechanics. It aims to show that the theory of soliton equations may be completely built on the study of the Casimir functions of a pencil of Poisson brackets on a Poisson manifold.


Poisson Bracket Pseudodifferential Operator Poisson Manifold Soliton Equation Laurent Expansion 


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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Paolo Casati
    • 1
  • Franco Magri
    • 2
  • Marco Pedroni
    • 3
  1. 1.Dottorato in MatematicaUniversità di TorinoTorinoItaly
  2. 2.Dipartimento di Matematica dell’Università di MilanoMilanoItaly
  3. 3.Dottorato in MatematicaUniversità di MilanoMilanoItaly

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