@article{ajams2015315,
author={{Naher, Hasibun and Begum, Fardousi Ara},
title={Application of Linear ODE as Auxiliary Equation to the Nonlinear Evolution Equation},
journal={American Journal of Applied Mathematics and Statistics},
volume={3},
number={1},
pages={23--28},
year={2015},
url={http://pubs.sciepub.com/ajams/3/1/5},
issn={2328-7292},
abstract={In this article, simplified Modified Camassa-Holm (SMCH) equation is investigated to construct some new analytical solutions via the improved (GĄ¯/G)<b>-</b>expansion<b> </b>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.},
doi={10.12691/ajams-3-1-5}
publisher={Science and Education Publishing}
}