Double sub-equation method for complexiton solutions of nonlinear partial differential equations

A double sub-equation method is presented for constructing complexiton solutions of nonlinear partial differential equations (PDEs). The main idea of the method is to take full advantage of two solvable ordinary differential equations with different independent variables. With the aid of Maple, one can obtain both complexiton solutions, combining elementary functions and the Jacobi elliptic function solutions, to nonlinear PDEs. Some illustrative equations are investigated by this means and the corresponding complexiton solutions are computed.