时空分数阶多孔介质类型方程的对称分析

Lie symmetry analysis for the space-time fractional porous medium equations

文中对时空分数阶多孔介质方程、带有非线性对流项的时空分数阶多孔介质方程和时空分数阶双多孔介质方程进行了对称分析,得到了3类多孔介质方程对应的Lie对称群,基于上述结果,进行了相应的对称约化,从而得到这些方程的群不变解。

In this paper,we study the space-time fractional porous medium equation,the space-time fractional porous medium equation with a nonlinear convection term,the space-time fractional dual porous medium equation using Lie symmetry analysis.The corresponding symmetry groups of these three types porous medium equations are obtained.Based on the above results we perform the similarity reduction and obtain the group-invariant solutions to these equations.