New non-Noetherian Symmetries and Multi-Hamiltonian Structures for the Toda Lattice
arXiv:0906.1627
Abstract
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.
18 pages