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On algebro-geometric Poisson brackets for the Volterra lattice | | A.P.Veselov
; A.V.Penskoi
; | | Date: |
20 Oct 2000 | | Journal: | Regular and Chaotic Dynamics, 3 (1998), no.2, pp. 3-9 | | Subject: | Mathematical Physics; Algebraic Geometry; Exactly Solvable and Integrable Systems MSC-class: 34G20, 34L40 | math-ph math.AG math.MP nlin.SI | | Abstract: | 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. | | Source: | arXiv, math-ph/0010027 | | Services: | Forum | Review | PDF | Favorites | |
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