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Poisson Brackets of Hydrodynamic Type and Their Generalizations

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Abstract

In this paper, we consider Hamiltonian structures of hydrodynamic type and some of their generalizations. In particular, we discuss the questions concerning the structure and special forms of the corresponding Poisson brackets and the connection of such structures with the theory of integration of systems of hydrodynamic type.

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Funding

The work of S.P.N. was supported by RFBR (grant no. 20-01-00157).

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Authors and Affiliations

  1. L.D. Landau Institute for Theoretical Physics, 142432, Chernogolovka, Russia

    A. Ya. Maltsev & S. P. Novikov

  2. V.A. Steklov Mathematical Institute of Russian Academy of Sciences, 119991, Moscow, Russia

    S. P. Novikov

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  1. A. Ya. Maltsev
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  2. S. P. Novikov
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Correspondence to A. Ya. Maltsev.

Additional information

Contribution for the JETP special issue in honor of I.E. Dzyaloshinskii’s 90th birthday

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Maltsev, A.Y., Novikov, S.P. Poisson Brackets of Hydrodynamic Type and Their Generalizations. J. Exp. Theor. Phys. 132, 645–657 (2021). https://doi.org/10.1134/S1063776121040154

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