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paper

A symplectic realization of the Volterra lattice

arXiv:0806.1270 · doi:10.1088/0305-4470/38/28/005

Abstract

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