1 99 5 A discrete time peakons lattice
نویسنده
چکیده
A discretization of the peakons lattice is introduced, belonging to the same hierarchy as the continuous–time system. The construction examplifies 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. A variational (Lagrangian) formulation is also given.
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تاریخ انتشار 2008