Some new traveling wave solutions of the modified Benjamin-Bona-Mahony equation via the improved (G/G)-expansion method

The improved (G'/G)-expansion method is a powerful mathematical tool for solving nonlinear evolution equations which arise in mathematical physics, engineering sciences and other technical arena. In this article, we construct some new exact traveling wave solutions for the modified Benjamin-Bona-Mahony equation by applying the improved (G'/G)-expansion method. In the method, the general solution of the second order linear ordinary differential equation with constant coefficients is used for studying nonlinear partial differential equations. The solution procedure of this method is executed by algebraic software, such as, Maple. The obtained solutions including solitary and periodic wave solutions are presented in terms of the hyperbolic function, the trigonometric function and the rational forms. It is noteworthy to reveal that some of our solutions are in good agreement with the published results for special cases which certifies our other solutions. Furthermore, the graphical presentations of some solutions are illustrated in the figures.