2005/06/10 by Luen-Chau Li
Physics and Astronomy · Mathematics · #math-ph #math.MP #math.SG
published as IMRN 2003, no. 51, 2725-2746 · 22 pages. This version has additional typo corrections
arxiv created 2005/06/10 · arxiv updated 2009/12/01
In this paper, we present a general scheme to construct integrable systems based on realization in the coboundary dynamical Poisson groupoids of Etingof and Varchenko. We also present a factorization method for solving the Hamiltonian flows. To illustrate our scheme and factorization theory, we consider a family of hyperbolic spin Ruijsenaars-Schneider models related to affine Toda field theories and solve the equations of motion in a simple case.