TRAVELLING WAVE SOLUTIONS OF (1+1)-DIMENSIONAL MODIFIED BENJAMIN-BONA-MAHONY EQUATION (MBBME) BY (G′/G,1/G)-EXPANSION METHOD

Abstract In this study, we study the travelling wave solutions of the Modified Benjamin-Bona-Mahony Equation (MBBME) using the -expansion method (EM). The expansion method, along with an appropriate transformation, allows us to derive a set of explicit solutions for the MBBME in terms of rational, hyperbolic, and trigonometric functions. The travelling wave profiles that these solutions depict are observable in a variety of physical systems that the MBBME describes. The results obtained by this solution play important role in the mathematical physics. Moreover, the graphical analysis of -EM are visualized in 2D and as well as 3D given in this work.