hello. I am trying to solve pde eq. with lie algebra in maple. but unforchonatly i am not succes to this.

please guide me how i can write a program and use the command of maple to solve the problrm bellow.

diff(u(x,t),t) = diff(u(x,t),`$`(x,2))+diff(u(x,t),x)^2

1-symmetry group generator

2-the Gi of symmetry groups.

3-lei berakets table

4-scaling invarient

5-traveling wave

please guide me by detail.

thanks.