Traveling Wave Solutions of the Simplified MCH Equation via Exp (−Φ(ξ)) -expansion Method
Harun -Or- Roshid *
Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
Md. Nur Alam
Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
M. Ali Akbar
Department of Applied Mathematics, University of Rajshahi, Bangladesh.
Rafiqul Islam
Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
The exp(−Φ(ξ)) -expansion method is an efficient method for obtaining exact traveling wave solutions of nonlinear evolution equations. In this paper, the exp(−Φ(ξ)) -expansion method is applied to construct exact traveling wave solutions of the simplified MCH equation. The traveling wave solutions are expressed in terms of the hyperbolic functions, the trigonometric functions and the rational functions. It is shown that the method is straightforward and effective mathematical tool for solving nonlinear evolution equations in mathematical physics and engineering.
Keywords: The exp(−Φ(ξ)) -expansion method, the simplified MCH equation, traveling wave solutions, solitary wave solutions