中文摘要：

有一个小参数的非线性的过滤方程的近似概括有条件的对称被学习。方程的起始值的问题能被转变到使不安的 Cauchy 问题使不安一阶的平常的微分方程系统和近似解决方案被使用这些对称获得。

英文摘要：

The approximate generalized conditional symmetries of nonlinear filtration equation with a small parameter are studied. The initial-value problem of the equation can be transformed to perturbed Cauchy problem of perturbed first-order ordinary dif- ferential equations systems and approximate solutions are obtained by using these symmetries.