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Эта публикация цитируется в 5 научных статьях (всего в 5 статьях)
On algebro-geometric Poisson brakets for the Volterra lattice
A. P. Veselova, A. V. Penskoĭb a Department of Mathematical Sciences,
Loughborough University,
Loughborough, LEll 3TU, UK
b Faculty of Mechanics and Mathematics,
Department of Higher Geometry and Topology,
Moscow State University,
Vorob'ievy Gory,
Moscow, 119899, Russia
Аннотация:
A generalization of the theory of algebro-geometric Poisson brackets on the space of finite-gap Schrodinger 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.
Поступила в редакцию: 05.07.1998
Образец цитирования:
A. P. Veselov, A. V. Penskoǐ, “On algebro-geometric Poisson brakets for the Volterra lattice”, Regul. Chaotic Dyn., 3:2 (1998), 3–9
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd934 https://www.mathnet.ru/rus/rcd/v3/i2/p3
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