On Solving Nonlinear Partial Differential Equations with Constant Coefficients by Using the Bernoulli Sub-ODE Method

Abstract

In this paper, the Bernoulli sub-ODE method is  used to obtain exact traveling wave solutions of the nonlinear partial differential equations. As applications, the exact solutions of the Zakharov Kuzetsov Benjamin Bona Mabony  equation, the Kaup-Kupershmidt equation and the Whitham-Broer-Kaup shallow water system are obtained. It is worth noting that  we have used the mathematica  program to get all the results.