An algebraic method for constructing the solitary-wave solutions of the (2 + 1)-dimensional Burgers equation

Considering that the subequation approach has been proved to be very useful to solve many systems, we present a more general algebraic method named Riccati equation rational expansion method to construct a series of the rational solitary-wave solutions, rational triangular periodic wave solutions and rational wave solutions of the (2+1)-dimensional Burgers equation. Compared with the most existing tanh methods and other sophisticated methods, the proposed method not only recovers some known solutions, but also finds some new and general solutions. The properties of more general solitary-wave solutions are shown by some figures.