New non-Noetherian Symmetries and Multi-Hamiltonian Structures for the Toda Lattice
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🧮 math-ph
math.MP
keywords
structureslatticemulti-hamiltoniansymmetriestodaalgebraallowsassociated
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New symmetry transformations for the n-dimensional Toda lattice are presented. Their existence allows for the construction of several first order Lagrangian structures associated to them. The multi-Hamiltonian structures are derived from Lagrangians in detail. The set of symmetries generates a Lie algebra.
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