Geodesic
On third Poisson structure of KdV equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 3, pp. 461-466 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     title = {On third {Poisson} structure of {KdV} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. S. Gorsky; A. V. Marshakov; A. Yu. Orlov; V. N. Rubtsov. On third Poisson structure of KdV equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 3, pp. 461-466. http://geodesic.mathdoc.fr/item/TMF_1995_103_3_a7/

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