Symmetry in Nonlinear Mathematical Physics - 2009

Olga Petrova (Prydniprovs'ka State Academy of Civil Engineering and Architecture, Dnipropetrovsk, Ukraine)

Generation solutions algorithms to the class of inhomogeneous reaction diffusion equations

A class of nonlinear diffusion convection equations is considered. Some equations of this class were connected with constant coefficient equations which admit nonlocal invariance or linearization. Then formulae for generation of solutions and formulae of nonlinear superposition for variable coefficient equations were constructed. New exact solutions of these equations were obtained.