Generation solutions algorithms for the class of inhomogeneous nonlinear diffusion equations

Nonlinear diffusion equations in the class ut−f(x)∂x(g(x)C(u)ux)=0 connected with constant coefficient equations which admit nonlocal mvariance or linearization by the generalized hodograph transformation are considered. Formulae for generation of solutions and formulae of nonlinear superposition for variable coefficient equations are constructed. Exact solutions of these equations are obtained.