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
Application of Linear ODE as Auxiliary Equation to the Nonlinear Evolution Equation
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