Multi-Hamiltonian structure for Bogoyavlensky-Toda lattices
Abstract:
We prove that the Bogoyavlensky-Toda lattices associated with simple
Lie groups are bi-Hamiltonian. We also review some previous results on
the multi-Hamiltonian structure of these systems. The areas investigated
include master symmetries, recursion operators, invariants, higher Poisson
brackets and Noether symmetries.