There are three cubic Hénon-Heiles systems which are integrable in the Liouville sense. In this paper we focus our attention on one of them, the so called Kaup-Kupershmidt (KK) system. Under the restricting condition \(c=0\), the equations of movement of this system can be separated and integrated using coordinates originally discovered by Ravoson, Gabrilov and Caboz. In this paper we show that the adoption of a different point of view provides a natural generalization of these coordinates and separate the generic case

中文翻译：

---

Kowalewski条件的一个应用

在Liouville的意义上，存在三个可积分的Hénon-Heiles系统。在本文中，我们将注意力集中在其中之一，即所谓的Kaup-Kupershmidt（KK）系统上。在限制条件\（c = 0 \）下，可以使用Ravoson，Gabrilov和Caboz最初发现的坐标来分离和积分该系统的运动方程。在本文中，我们表明采用不同的观点可以自然地概括这些坐标并将普通情况分开