New Exact Solutions of the Modified Benjamin-Bona-Mahony Equation

Abstract

Abstract. The extended simplest equation method is used to construct exact solutions of the modified Benjamin-Bona-Mahony (mBBM) equation. The results obtained are in the form of hyperbolic, trigonometric, and rational functions. Throughout the paper, all the calculations are made with the aid of the Maple packet program. The method is more effective and simple than other method and can be used for many other nonlinear evolution equations.