【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。更多还原

【Abstract】 The generalized porous medium equations are studied by using the conditional Lie-Bcklund symmetry method.The generalized porous medium equations with source which admit second-order conditional Lie-Bcklund 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.更多还原