Volterra's realization of the KM-system
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We construct a symplectic realization of the KM-system and obtain the higher order Poisson tensors and commuting flows via the use of a recursion operator. This is achieved by doubling the number of variables through Volterra's coordinate transformation. An application of Oevel's theorem yields master symmetries, invariants and deformation relations.
Keywords
Cite
@article{arxiv.math-ph/0510017,
title = {Volterra's realization of the KM-system},
author = {M. A. Agrotis and P. A. Damianou},
journal= {arXiv preprint arXiv:math-ph/0510017},
year = {2007}
}
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11 pages