On third Poisson structure of KdV equation

Details On third Poisson structure of KdV equation On third Poisson structure of KdV equation

1995-03-02

arxiv.org/abs/hep-th/9503018v1

Theor.Math.Phys. 103 (1995) 701-705; Teor.Mat.Fiz. 103 (1995) 461-466

Physics

High Energy Physics

High Energy Physics - Theory

6pp, Latex. to appear in ``Proceedings of V conference on Mathematical Physics, String Theory and Quantum Gravity, Alushta, Ju

Scientific paper

10.1007/BF02065868

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

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