Notes on a paper by Lutzky on the noncanonical symmetries of Hamiltonian systems: “Noncanonical symmetries and isospectral representations of Hamiltonian systems”

González Gascón, FranciscoAguirre Dabán, Eduardo2023-06-212023-06-2119820375-9601https://hdl.handle.net/20.500.14352/64797We obtain the first integrals Tr(Rk) by using a differential equation of the Lax type of simpler structure than the one obtained in a recent paper. Certain questions raised in this paper on the relation between noncanonical symmetries S and complete integrability are answered. Additional first integrals depending on the derivatives of S of order greater than one are also obtained.Notes on a paper by Lutzky on the noncanonical symmetries of Hamiltonian systems: “Noncanonical symmetries and isospectral representations of Hamiltonian systems”journal articlehttp://0-www.sciencedirect.com.cisne.sim.ucm.es/science/article/pii/0375960182904911http://www.sciencedirect.commetadata only access515.16Topología1210 Topología