2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51574The symmetries of the simplest non-abelian Toda equations are discussed. The set of characteristic integrals whose Hamiltonian counterparts form a W-algebra, is presented.11 pages, LaTeX, no figures; Based on talk given at the 12th International Seminar on High Energy Physics ``Quarks'2002'', Novgorod, Russia, June 1--7, 2002High Energy Physics - TheoryMathematical PhysicsExactly Solvable and Integrable Systemstext