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

作　　者：王建平[1] 姬利娜[1] WANG Jianping JI Lina(Department of Information and Computational Science, Henan Agricultural University, Zhengzhou 450046, Chin)

机构地区：[1]河南农业大学信息与计算科学系,河南郑州450046

出　　处：《西北大学学报（自然科学版）》2017年第5期627-631,共5页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金联合基金资助项目(U1204104)

摘　　要：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.

关 键 词：多孔介质方程 条件Lie-Backlund对称 不变子空间 泛函广义分离变量解 

分 类 号：O175.29[理学—数学]