1995/12/31 by Yu. B. Suris, Yuri B. Suris · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #nlin.SI #solv-int
paper · pdf · doi:10.1063/1.531611
published as J. Math. Phys., 1996, V. 37, p. 3982-3996. · 22 pages, LaTeX, revised version (the third lattice discretized now!)
arxiv created 1996/01/02 · openalex publication_date 1996/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 flows are found.