Author(s)

Md. Nur Alam^1*, Fethi Bin Muhammad Belgacem², M. Ali Akbar³

¹Department of Mathematics, Pabna University of Science & Technology, Pabna, Bangladesh.
²Department of Mathematics, Faculty of Basic Education, PAAET, Al-Ardhiya, Kuwait.
³Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh.

The novel (G'/G)-expansion method is a powerful and simple technique for finding exact traveling wave solutions to nonlinear evolution equations (NLEEs). In this article, we study explicit exact traveling wave solutions for the (1 + 1)-dimensional combined KdV-mKdV equation by using the novel (G'/G)-expansion method. Consequently, various traveling wave solutions patterns including solitary wave solutions, periodic solutions, and kinks are detected and exhibited.

Novel (G'/G)-Expansion Method, (1 + 1)-Dimensional Combined KdV-mKdV Equation, Kink Patterns, Nonlinear Evolution Equation, Solitary Wave Solutions, Traveling Wave Solutions

Alam, M. , Belgacem, F. and Akbar, M. (2015) Analytical Treatment of the Evolutionary (1 + 1)-Dimensional Combined KdV-mKdV Equation via the Novel (G'/G)-Expansion Method. Journal of Applied Mathematics and Physics, 3, 1571-1579. doi: 10.4236/jamp.2015.312181.