Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 3 1 2015 02 02 Application of Linear ODE as Auxiliary Equation to the Nonlinear Evolution Equation 23 28 EN Hasibun Naher Department of Mathematics and Natural Sciences, BRAC University, Mohakhali, Dhaka, Bangladesh Fardousi Ara Begum AJAMS2015315 10.12691/ajams-3-1-5 2015 01 10 2015 01 27 2015 02 02 In this article, simplified Modified Camassa-Holm (SMCH) equation is investigated to construct some new analytical solutions via the improved (G'/G)-expansion method. Second order linear ordinary differential equation is used with constant coefficients in the method. As a result, some new travelling wave solutions are obtained through the hyperbolic function, the trigonometric function and the rational forms. If parameters take specific values, the solitary waves are derives from the travelling waves. Furthermore, some of the solutions are presented in the figures with the aid of commercial software Maple.