We consider the variable coefficient inhomogeneous nonlinear diffusion equations of the form xput=[xqunux]x. We present further transformation properties for this nonlinear class of equations that do not appear in the literature. In particular, we map this class of variable-coefficient into...

We consider the variable coefficient inhomogeneous nonlinear diffusion equations of the form f(x)ut=[g(x)unux]x. We present a complete classification of Lie symmetries and form-preserving point transformations in the case where f(x)=1 which is equivalent to the original equation. We also...