On algebro-geometric Poisson brackets for the Volterra lattice

Details On algebro-geometric Poisson brackets for the Volterra lattice On algebro-geometric Poisson brackets for the Volterra lattice

2000-10-20

arxiv.org/abs/math-ph/0010027v2

Regular and Chaotic Dynamics, 3 (1998), no.2, pp. 3-9

Physics

Mathematical Physics

8 pages, written addendum

Scientific paper

A generalization of the theory of algebro-geometric Poisson brackets on the
space of finite-gap Schroedinger operators, developped by S. P. Novikov and A.
P. Veselov, to the case of periodic zero-diagonal difference operators of
second order is proposed. A necessary and sufficient condition for such a
bracket to be compatible with higher Volterra flows is found.

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