New non-Noetherian Symmetries and Multi-Hamiltonian Structures for the Toda Lattice

Details New non-Noetherian Symmetries and Multi-Hamiltonian Structures for the Toda Lattice New non-Noetherian Symmetries and Multi-Hamiltonian Structures for the Toda Lattice

2009-06-09

arxiv.org/abs/0906.1627v1

Physics

Mathematical Physics

18 pages

Scientific paper

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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