Theoretical and Mathematical Physics

, Volume 103, Issue 3, pp 701–705 | Cite as

On third Poisson structure of KdV equation

  • A. Gorsky
  • A. Marshakov
  • A. Orlov
  • V. Rubtsov
Article

Abstract

The third Poisson structure of the KdV equation in terms of canonical “free fields” and the reduced WZNW model is discussed. We prove that it is “diagonalized” in the Lagrange variables which were used before in the formulation of 2d gravity. We propose a quantum path integral for the KdV equation based on this representation.

Keywords

Poisson Structure Free Field Lagrange Variable WZNW Model Quantum Path 

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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • A. Gorsky
    • 1
  • A. Marshakov
    • 1
  • A. Orlov
    • 1
  • V. Rubtsov
    • 1
  1. 1.Institute of Theoretical PhysicsMoscowRussia

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