2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80063The hierarchy of the classical nonlinear integrable equations associated with relativistic Toda chain model is considered. It is formulated for the N-th powers of the quantum operators of the corresponding quantum integrable models. Following the ideas of the paper hep-th/9606144 it is shown how one can obtain such a system from 2D Toda lattice system. The reduction procedure is described explicitly. The soliton solutions for the relativistic Toda chain are constructed using results of solv-int/9304002 in terms of the rational tau-functions. The vanishing properties of these tau-functions are investigated.LaTeX2e, 21 pages, misprints correctedExactly Solvable and Integrable SystemsRelativistic Toda chain at root of unity III. Relativistic Toda chain hierarchytext