A discrete time peakons lattice
solv-int
2009-10-28 v1 Exactly Solvable and Integrable Systems
Abstract
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 --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.
Cite
@article{arxiv.solv-int/9512001,
title = {A discrete time peakons lattice},
author = {Yuri B. Suris},
journal= {arXiv preprint arXiv:solv-int/9512001},
year = {2009}
}
Comments
14 pages, LaTeX