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Symmetries of Toda Equations

Published 1 Nov 2014 in math-ph and math.MP | (1411.0123v1)

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.

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