Poisson brackets of hydrodynamic type and their generalizations

A. Ya. Maltsev, S. P. Novikov

Published 2020-10-28Version 1

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.