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Multiple Hamiltonian Structures for Toda-type systems

Published 1 Oct 2014 in math-ph and math.MP | (1410.0191v1)

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.

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