Multiple Hamiltonian Structures for Toda-type systems
arXiv:1410.0191 · doi:10.1063/1.530763
Abstract
Results on the finite nonperiodic Toda lattice are extended to some generalizations of the system: The relativistic Toda lattice, the generalized Toda lattice associated with simple Lie groups and the full Kostant-Toda lattice. The areas investigated, include master symmetries, recursion operators, higher Poisson brackets, invariants, and group symmetries for the systems. A survey of previous work on the classical Toda lattice is also included.
48 pages, 46 references. arXiv admin note: substantial text overlap with arXiv:nlin/0608018