论文标题
旋转Calogero-Moser系统的Bäcklund变换的一致性
Consistency of the Bäcklund transformation for the spin Calogero-Moser system
论文作者
论文摘要
我们证明了在理性，三角和双曲线病例中旋转Calogero-Moser（SCM）系统的Bäcklund变换（BT）的一致性。 SCM系统的BT由一个过度确定的ODES组成；为了建立我们的结果，我们构建和分析了某些功能，这些功能衡量了该过度确定系统从一致性中的偏离，并在轻度假设下表明这些功能相同零，这允许对过度确定系统的初始值问题产生独特的解决方案。
We prove the consistency of the Bäcklund transformation (BT) for the spin Calogero-Moser (sCM) system in the rational, trigonometric, and hyperbolic cases. The BT for the sCM system consists of an overdetermined system of ODEs; to establish our result, we construct and analyze certain functions that measure the departure of this overdetermined system from consistency and show, under mild assumptions, that these functions are identically zero and that this allows for a unique solution to the initial value problem for the overdetermined system.
