Exact solutions of four generalized Benjamin–Bona–Mahony equations with any order

摘要

For the four generalized Benjamin–Bona–Mahony equations that occurred in [4], [5], we apply the theory of Weierstrass elliptic function to obtain all the solutions in [4], [5]. The traveling wave solutions are expressed by the hyperbolic functions and trigonometric functions. The method is direct and concise, and free of the symbolic calculation. Moreover, it is more effective than the method in [5] and is suitable to other equations with any order.