Hydrodynamic chains and a classification of their Poisson brackets
نویسنده
چکیده
Necessary and sufficient conditions for an existence of the Poisson brackets significantly simplify in the Liouville coordinates. The corresponding equations can be integrated. Thus, a description of local Hamiltonian structures is a first step in a description of integrable hydrodynamic chains. The concept of M Poisson bracket is introduced. Several new Poisson brackets are presented.
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