The Kupershmidt hydrodynamic chains and lattices

Details The Kupershmidt hydrodynamic chains and lattices The Kupershmidt hydrodynamic chains and lattices

2006-04-21

arxiv.org/abs/nlin/0604049v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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.

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