Several new exact solutions for a fast diffusion equation by the differential constraints of the linear determining equations

摘要

In this paper, we propose a new approach to develop several new exact solutions to a fast nonlinear diffusion equation. This approach rests on the differential constraints obtained by the method of linear determining equations. The method is capable of reducing the nonlinear diffusion equation to systems of nonlinear ordinary equations. The proposed scheme is presented in a general way so that it can be used in other diffusion processes.