A new general algebraic method with symbolic computation to construct new traveling solution for the (1 + 1)-dimensional dispersive long wave equation

A new algebraic method, named Riccati equation rational expansion (RER.E) method, is devised for constructing multiple traveling wave solutions for nonlinear evolution equations (NEEs). With the aid of symbolic computation, we choose (1 + 1)-dimensional dispersive long wave equation (DLWE) to illustrate our method. As a result, we obtain many types of solutions including rational form solitary wave solutions, triangular periodic wave solutions and rational wave solutions.