2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199058We demonstrate that in a certain gauge the elliptic Ruijsenaars-Shneider model with N=2 admits a nondynamical r-matrix structure and the corresponding classical r-matrix is the same as that of its non-relativistic counterpart (Calogero-Moser model) in the same gauge.The relation between our (classical)Lax operator and the Lax operator given by Ruijsenaars is also obtained.7 pages, Latex file 17kExactly Solvable and Integrable SystemsThe nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2text