eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2015-02-02 3 1 23 28 10.12691/ajams-3-1-5 AJAMS2015315 article Hasibun Naher hasibun06tasauf@gmail.com 1 Fardousi Ara Begum 1 Department of Mathematics and Natural Sciences, BRAC University, Mohakhali, Dhaka, Bangladesh 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. http://pubs.sciepub.com/ajams/3/1/5/ajams-3-1-5.pdf The SMCH equation analytical solutions nonlinear partial differential equation ordinary differential equation auxiliary equation the improved (G'/G)-expansion method