In this paper, the method of dynamical systems developed in [Li & Chen, 2007] is applied to the rotation-two-component Camassa–Holm system. Through qualitative analysis, under given parameter conditions, exact explicit solitary wave solution, pseudo-peakon solution, peakon and periodic peakon, as well as compacton solution, are obtained. Some parameter conditions constraints are derived for ensuring the existence of these solutions.

中文翻译：

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旋转-双分量 Camassa-Holm 系统的精确峰值、周期峰值和伪峰值解

在本文中，[Li & Chen, 2007] 开发的动力系统方法应用于旋转二分量 Camassa-Holm 系统。通过定性分析，在给定的参数条件下，得到了精确的显式孤波解、伪峰解、峰和周期峰以及紧致波解。导出了一些参数条件约束以确保这些解的存在。