中文摘要：

利用不变子空间方法及拟设法,在变量变换作用下给出双曲几何流和Ricci流的各种分离变量解,包括乘法分离变量解和广义泛函分离变量解,并给出了这些解的性质分析.

英文摘要：

In the sense of change of variables,separable solutions to the geometrical flows are constructed by invariant subspace method and ansatz-based method.Product separable solutions and generalized functional separable solutions are included.The behavior of these solutions are described.