Symmetries of Toda equations

@inproceedings{Damianou1993SymmetriesOT,
  title={Symmetries of Toda equations},
  author={Pantelis A. Damianou},
  year={1993}
}
The authors find a sequence consisting of time-dependent evolution vector fields whose time-independent part corresponds to the master symmetries of the Toda equations. Each master symmetry decomposes as a sum consisting of a group symmetry and a Hamiltonian vector field. Taking Lie derivatives in the direction of these vector fields produces an infinite sequence of symmetries.