Noether and master symmetries for the Toda lattice
SourceApplied Mathematics Letters
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In this letter we examine the interrelation between Noether symmetries, master symmetries and recursion operators for the Toda lattice. The topics include invariants, higher Poisson brackets and the various relations they satisfy. For the case of two degrees of freedom we prove that the Toda lattice is super-integrable. © 2004 Elsevier Ltd. All rights reserved.