Kovalenko I. B., Kushner A. G.
The non-linear diffusion and thermal conductivity equation: group classification and exact solutions
2003, vol. 8, no. 2, pp. 167-189
We consider the problem of group classification of one non-linear partial differential equation which describes the processes on non-linear diffusion and thermal conductivity. We found Lie algebras of symmetries of this equation which let us find some exact solutions.