A simple fast method in finding the analytical solutions to a class of nonlinear partial differential equations

By introducing, a new transformation and selecting appropriate trial functions, nonlinear partial differential equations can be converted to algebraic equations, and their related coefficients can be easily determined by making use of the method of undetermined coefficients. Finally, the analytical solutions to a class of nonlinear partial differential equations are successfully derived. One can easily see that this method used herein is particularly simple.