A symplectic realization of the Volterra lattice

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We examine the multiple Hamiltonian structure and construct a symplectic realization of the Volterra model. We rediscover the hierarchy of invariants, Poisson brackets and master symmetries via the use of a recursion operator. The rational Volterra bracket is obtained using a negative recursion operator.
8 pages

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Mathematical Physics, Dynamical Systems, 37J35

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http://salesiana.dossiersoluciones.com/handle/123456789/200844

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.1270
 http://arxiv.org/abs/0806.1270
 J.Phys.A38:6327-6334,2005
 doi:10.1088/0305-4470/38/28/005

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arXiv