On third Poisson structure of KdV equation

A. Gorsky, A. Marshakov, A. Orlov, V. Rubtsov

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)701-705
Number of pages5
JournalTheoretical and Mathematical Physics
Issue number3
Publication statusPublished - Jun 1995
Externally publishedYes


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