On third Poisson structure of KdV equation
High Energy Physics - Theory
2016-09-06 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9503018,
title = {On third Poisson structure of KdV equation},
author = {A. Gorsky and A. Marshakov and A. Orlov and V. Rubtsov},
journal= {arXiv preprint arXiv:hep-th/9503018},
year = {2016}
}
Comments
6pp, Latex. to appear in ``Proceedings of V conference on Mathematical Physics, String Theory and Quantum Gravity, Alushta, June 1994'' Teor.Mat.Fiz. 1995