Noether and master symmetries for the Toda lattice |
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Institution: | Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, CY1678 Nicosia, Cyprus |
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Abstract: | 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. |
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