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.