Volterra's realization of the KM-system

Details Volterra's realization of the KM-system Volterra's realization of the KM-system

2005-10-05

arxiv.org/abs/math-ph/0510017v1

Physics

Mathematical Physics

11 pages

Scientific paper

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.

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