Construction Of Exact Solutions For The Shallow Water Wave-MBBM Equations

The construction of exact solutions of nonlinear partial differential equations is a significant problem in studying of differential equations and computer algebra. In this paper, the exact solutions of MBBM shallow water wave equation have been constructed by the (G’/G)-extended method and two kinds of modified (G’/G)-expansion method. These solutions include rational function solutions, trigonometric function solutions, soliton solutions and hyperbolic function solutions, thereby these solutions enrich the study of MBBM equation.