Analytical solution of nonlinear diffusion equation in two-dimensional surface

We considered practically important case of nonlinear diffusion in the anisotropic plane where diffusion coefficients for diffusion in X and y axis directions can be different. This equation was transformed using similarity variables. The approximate analytical solution of the transformed equation expressed by power-series expansion for two variables about the zero point including only the first terms. The graphic representations show sufficient accuracy of the obtained analytical solution.