根据谎言组理论,(1 + N ) 维的时间部分的部分微分方程被学习并且表示被给。作为应用,非线性的时间部分的散开传送对流方程的二种特殊形式被谎言组分析方法调查。然后,方程在组转变下面被简化为部分平常的微分方程。因此,不变的答案和一些准确答案被获得。
On the basis of Lie group theory, (1 + N)-dimensional time-fractional partial differential equations are studied and the expression of ηα^0 is given. As applications, two special forms of nonlinear time-fractional diffusion- convection equations are investigated by Lie group analysis method. Then the equations are reduced into fractional ordinary differential equations under group transformations. Therefore, the invariant solutions and some exact solutions are obtained.