Discrete time Bogoyavlensky lattices
نویسنده
چکیده
Discretizations of the Bogoyavlensky lattices are introduced, belonging to the same hierarchies as the continuous–time systems. The construction exemplifies the general scheme for integrable discretization of systems on Lie algebras with r–matrix Poisson brackets. An initial value problem for the difference equations is solved in terms of a factorization problem in a group. Interpolating Hamiltonian flow is found.
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تاریخ انتشار 2008