Hydrodynamic chains and a classification of their Poisson brackets
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
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 Poisson bracket is introduced. Several new Poisson brackets are presented.
Cite
@article{arxiv.nlin/0603056,
title = {Hydrodynamic chains and a classification of their Poisson brackets},
author = {Maxim V. Pavlov},
journal= {arXiv preprint arXiv:nlin/0603056},
year = {2015}
}