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On the Hamiltonian Representation of the Associativity Equations

  • E. V. Ferapontov
  • O. I. Mokhov
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 26)

Abstract

We demonstrate that for an arbitrary number n of primary fields the equations of the associativity can be rewritten in the form of (n — 2) pairwise commuting systems of hydrodynamic type, which appear to be nondiagonalizable but integrable. We propose a natural Hamiltonian representation of the systems under study in the cases n = 3 and n = 4.

Keywords

Hamiltonian System Poisson Bracket Spectral Problem Hamiltonian Structure Hydrodynamic Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 1997

Authors and Affiliations

  • E. V. Ferapontov
    • 1
  • O. I. Mokhov
    • 2
  1. 1.Inst. for Math. ModellingMoscowRussia
  2. 2.Steklov Mathematical InstituteMoscowRussia

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