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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 103, Number 3, Pages 461–466
(Mi tmf1315)
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This article is cited in 4 scientific papers (total in 4 papers)
On third Poisson structure of KdV equation
A. S. Gorskya, A. V. Marshakova, A. Yu. Orlov, V. N. Rubtsova a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
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.
Citation:
A. S. Gorsky, A. V. Marshakov, A. Yu. Orlov, V. N. Rubtsov, “On third Poisson structure of KdV equation”, TMF, 103:3 (1995), 461–466; Theoret. and Math. Phys., 103:3 (1995), 701–705
Linking options:
https://www.mathnet.ru/eng/tmf1315 https://www.mathnet.ru/eng/tmf/v103/i3/p461
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Abstract page: | 365 | Full-text PDF : | 164 | References: | 57 | First page: | 1 |
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