Exact solutions of nonlinear PDE, nonlinear transformations and reduction of nonlinear PDE to a quadrature

A method to construct the exact solution of the PDE is presents, which combines the two kind methods - the nonlinear transformation and RQ (reduction of the PDE to a quadrature problem) method. The nonlinear diffusion equation is chosen to illustrate the method and the exact solutions are obtained. (C) 2001 Elsevier Science B.V. All rights reserved.