Exact solutions of nonlinear filtration equation obtained by a generalized conditional symmetry method

Abstract EN

In this paper, we find a useful result under certain types of generalized conditional symmetry, which is reduction of nonlinear filtration equation to different classes by classifying the filtration coefficient.

As a consequence, of our result some new exact solutions for two classes of important filtration equation are obtained, for a third class of filtration equation, compatible condition for exact solution is also derived.