New non-Noetherian Symmetries and Multi-Hamiltonian Structures for the Toda Lattice
Mathematical Physics
2009-06-10 v1 math.MP
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.
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Cite
@article{arxiv.0906.1627,
title = {New non-Noetherian Symmetries and Multi-Hamiltonian Structures for the Toda Lattice},
author = {Felipe A. Asenjo and Sergio A. Hojman},
journal= {arXiv preprint arXiv:0906.1627},
year = {2009}
}
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18 pages