2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57440In the present paper the non-Noether symmetries of the Toda model, nonlinear Schodinger equation and Korteweg-de Vries equations (KdV and mKdV) are discussed. It appears that these symmetries yield the complete sets of conservation laws in involution and lead to the bi-Hamiltonian realizations of the above mentioned models.LaTeX 2e article, 10 pages, no figuresMathematical PhysicsDynamical SystemsSymplectic Geometry70H33, 70H06, 58J70, 53Z05, 35A30text