A symplectic realization of the Volterra lattice

Details A symplectic realization of the Volterra lattice A symplectic realization of the Volterra lattice

2008-06-07

arxiv.org/abs/0806.1270v1

J.Phys.A38:6327-6334,2005

Physics

Mathematical Physics

8 pages

Scientific paper

10.1088/0305-4470/38/28/005

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.

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