带有源项的广义多孔介质方程的泛函分离变量解  

Functionally separable solutions of the generalized porous medium equations with source

作　　者：何春花[1] 姬利娜[1] 

机构地区：[1]河南农业大学信息与计算科学系,河南郑州450002

出　　处：《西北大学学报（自然科学版）》2013年第4期538-540,共3页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(U1204104)

摘　　要：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对称的带源项的广义多孔介质方程被确定。所得方程的泛函分离变量解由对称约化给出,这些解不能由李点对称和非古典对称方法得到。The generalized porous medium equations are studied by using the conditional Lie-Backlund symmetry method. The generalized porous medium equations with source which admit second-order conditional Lie-Backlund symmetry are presented. The functionally separable solutions to the obtained equations are also given. These solutions can＇t be obtained within the framework of Lie＇s point symmetry and non classical symmetry methods.

关 键 词：广义多孔介质方程 条件Lie—Backlund对称 泛函分离变量解 

分 类 号：O175.14[理学—数学]