Symmetries of Toda Equations

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.

arXiv comment11 pages. arXiv admin note: text overlap with arXiv:nlin/0608018, arXiv:1410.0191

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