2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111747This 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.Exactly Solvable and Integrable SystemsThe Kupershmidt hydrodynamic chains and latticestext