A new general algebraic method with symbolic computation and its application to two nonlinear differential equations with nonlinear terms of any order

In this paper, with the help of symbolic computation system Maple, we present a new generalized Riccati equation rational expansion method and successfully obtain some new rational formal solutions of some nonlinear partial differential equation with nonlinear terms of any order. The presented method can also be applied to other nonlinear evolution equations with nonlinear terms of any order.