利用函数变换与辅助方程相结合的方法,研究了构造广义Camassa-Holm (CH-r)方程的无穷序列类孤子新解问题,获得了新结果。首先,通过一些函数变换,把CH-r方程化为可求解的常微分方程;其次,利用可求解的常微分方程的新解和Backlund变换,构造了CH-r方程的无穷序列类孤子新解。
The method of combining function transformations with auxiliary equation is presented to search for new infinite sequence soliton-like solutions of Camassa-Holm-r (CH-r) equation. And many new conclusions are obtained. Step one,according to some function transformations, CH-r equation is changed into the solvable ordinary differential equation. Step two, new infinite sequence soliton-like solutions of CH-r equation are constructed by applying new solutions and B?cklund transformation of the solvable ordinary differential equation.