中文摘要：

应用一种新的数学技巧,即基于用积分因子求解常微分方程的方法,研究了一类广义Camassa-Holm方程,求出了该方程的孤立尖波、孤子类和周期行波解,并在不同的参数条件下分别把孤立尖波、孤子类以及周期行波解用显示公式表示出来,得到的解的结构的定性变化条件是明显的.

英文摘要：

This paper deals with a generalized Camassa-Holm equation by making use of a mathematical technique based on using integral factors for solving ordinary differential equations. The existence of peakons,solitary patterns and periodic travelling wave solutions is obtained. The peakons,solitary patterns and periodic travelling wave solutions are expressed analytically under various circumstances.The conditions which cause the qualitative change in the physical structures of the solutions are clear.