Symmetries of Toda Equations
arXiv:1411.0123 · doi:10.1088/0305-4470/26/15/027
Abstract
We find a sequence consisting of time dependent evolution vector fields whose time independent part corresponds to the master symmetries for 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 recursion operators.
11 pages. arXiv admin note: text overlap with arXiv:nlin/0608018, arXiv:1410.0191