Alam, Md.N., Hafez, M.G., Belgacem, F.B.M. and Akbar, M.A. (2015) Applications of the Novel (G'/G)-Expansion Method to Find New Exact Traveling Wave Solutions of the Nonlinear Coupled Higgs Field Equation. Nonlinear Studies, 22, 613-633.

has been cited by the following article:

• TITLE: Analytical Treatment of the Evolutionary (1 + 1)-Dimensional Combined KdV-mKdV Equation via the Novel (G'/G)-Expansion Method

  AUTHORS: Md. Nur Alam, Fethi Bin Muhammad Belgacem, M. Ali Akbar

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.12, December 8, 2015

  ABSTRACT: 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.