论文标题
关于变形的Ruijsenaars-Schneider系统的可集成性
On integrability of the deformed Ruijsenaars-Schneider system
论文作者
论文摘要
我们发现了最近引入的变形Ruijsenaars-Schneider多体系统的运动积分,它是椭圆形解决方案的杆的动力系统,对TODA晶格且构成了B型。我们的方法基于以下事实:该系统的运动方程与对ruijsenaars-schneider schneider粒子的成对恰好相吻合的距离固定的距离固定的距离固定了一个特殊的距离。
We find integrals of motion for the recently introduced deformed Ruijsenaars-Schneider many-body system which is the dynamical system for poles of elliptic solutions to the Toda lattice with constraint of type B. Our method is based on the fact that equations of motion for this system coincide with those for pairs of Ruijsenaars-Schneider particles which stick together preserving a special fixed distance between the particles.