Coboundary dynamical Poisson groupoids and integrable systems
数学物理
2007-05-23 v1 math.MP
辛几何
摘要
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.
引用
@article{arxiv.math-ph/0506027,
title = {Coboundary dynamical Poisson groupoids and integrable systems},
author = {Luen-Chau Li},
journal= {arXiv preprint arXiv:math-ph/0506027},
year = {2007}
}
备注
22 pages. This version has additional typo corrections