余平衡动力Poisson群胚与可积系统
Coboundary dynamical Poisson groupoids and integrable systems
摘要：
本文给出了基于Etingof和Varchenko的共边界动力Poisson群胚中的实现构造可积系统的一般方案。我们还提出了一个因式分解法求解哈密顿流。为了说明我们的计划和因式分解理论，我们考虑一个家庭的双曲自旋Ruijsenaars-Schneider模型相关的仿射Toda场论和解决运动方程在一个简单的情况下。
英文摘要：
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.
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