Coboundary dynamical Poisson groupoids and integrable systems

Details Coboundary dynamical Poisson groupoids and integrable systems Coboundary dynamical Poisson groupoids and integrable systems

2005-06-10

arxiv.org/abs/math-ph/0506027v1

IMRN 2003, no. 51, 2725-2746

Physics

Mathematical Physics

22 pages. This version has additional typo corrections

Scientific paper

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.

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