International Journal of Scientific Engineering and Technology
  • Year: 2015
  • Volume: 4
  • Issue: 8

Traveling Wave Solutions for the Foam Drainage Equation and the Enhanced (G'/G)-Expansion Method

  • Author:
  • S. M. Rayhanul Islam1,, M. Shuzon Ali2, M. Shaiful Islam3, Kamruzzaman Khan1
  • Total Page Count: 6
  • Page Number: 426 to 431

1Department of Mathematics, Pabna University of Science & Technology, Pabna-6600, Bangladesh

2Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science & Technology University, Gopalgang-8100, Bangladesh

3Department of Mathematics & Statistics, Jessore University of Science & Technology, Jessore-7408, Bangladesh

*Corresponding author E-mail: rayhanulmath@yahoo.com

Online published on 28 March, 2017.

Abstract

In this paper, the enhanced (G'/G)-expansion method is used to assemble the traveling wave solutions involving parameters of the Foam Drainage equation, where G =G(ξ) satisfies a second order linear differential equation. The traveling wave solutions are expressed by the hyperbolic functions and the trigonometric functions. When some arbitrary functions included in these solutions are taken as some special functions, these solutions possess profuse structures. This method is direct, concise elementary and effective and can be used for many other nonlinear evolutions equations.

Keywords

enhanced (G'/G)-expansion method, Foam Drainage equation, NLEEs, Traveling wave solutions, Solitary waves