Abstract:
Using generalized conditional symmetry method to research a kind of nonlinear diffusion equations with variable coefficients. When the diffusion term is taken in the form D(u)=um (m≠-1,0,1), this equation is discussed, some exact solutions to the equation are obtained. The exact solutions are the solutions of the functional separation of variables in the form , they can be seen as a special form of generalized functional separation of variables solutions. These exact solutions have a rich theoretical and practical significance, and deepen and develop the scope of solutions of such equation.
