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arXiv · 1410.0191

Multiple Hamiltonian Structures for Toda-type systems

Pantelis A. Damianou
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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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Pantelis A. Damianou. 2014-10-01. Multiple Hamiltonian Structures for Toda-type systems. https://doi.org/10.1063/1.530763

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