广义多孔介质方程的条件Lie-Bcklund对称和对称约化

Conditional Lie-Bcklund Symmetries and Reductions of Generalized Porous Medium Equation

本文运用条件Lie-Bcklund对称方法研究了广义多孔介质方程.允许二阶条件Lie-Bcklund对称的方程被确定给出.继而,通过相应的对称约化得到了方程的精确解.

In this paper,conditional Lie-Bcklund symmetry method was used to study generalized porous medium equation. The equations which admit second-order conditional Lie-Bcklund symmetries were identified. As a result exact solutions of the resulting equations were constructed due to the corresponding symmetry reductions.