Exact Solutions of Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity by Modified Exp-Function Method

Abstract

In this work, the Benjamin-Bona-Mahoney-Burgers equation is examined which includes the dual power law nonlinearity and diffraction term. The exact solutions of governing equation are obtained by exploting the modified exp-function method. For some specific values of constants, the obtained travelling wave soluions are dark soliton, periodic and singular in nature. Also, 3-D, 2-D and contour graphical representations of obtained solutions are displayed.