多孔介质方程的条件Lie-Bcklund对称和泛函广义分离变量解

Conditional Lie-Bcklund symmetries and functionally generalized separable solutions of porous medium equation

文中运用条件Lie-Bcklund对称方法研究了多孔介质方程,允许与不变子空间相关的条件Lie-Bcklund对称的多孔介质被确定给出,继而,所得方程定义在不变子空间上的泛函广义分离变量解由对称约化得到。

The conditional Lie-Bcklund symmetry method was used to study porous medium equation. The equations which admit conditional Lie-Bcklund symmetry related with invariant subspace are identified. As a consequence,the functionally generalized separable solutions defined on invariant subspaces are constructed due to symmetry reductions.