The Kupershmidt hydrodynamic chains and lattices
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
This paper is devoted to the very important class of hydrodynamic chains first derived by B. Kupershmidt and later re-discovered by M. Blaszak. An infinite set of local Hamiltonian structures, hydrodynamic reductions parameterized by the hypergeometric function and reciprocal transformations for the Kupershmidt hydrodynamic chains are described.
Cite
@article{arxiv.nlin/0604049,
title = {The Kupershmidt hydrodynamic chains and lattices},
author = {Maxim V. Pavlov},
journal= {arXiv preprint arXiv:nlin/0604049},
year = {2007}
}