The negative relativistic toda hierarchy and rational poisson brackets
Date
2004ISSN
1575-5460Source
Qualitative Theory of Dynamical SystemsVolume
5Issue
1Pages
121-134Google Scholar check
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We define hierarchies for negative values of the index of Poisson tensors, master symmetries and Hamiltonians for the finite, nonperiodic, relativistic Toda lattice. We show that the usual relations between master symmetries, Poisson tensors and invariants hold over all integer values of the index.