The (G'/G)-expansion method for abundant traveling wave solutions of Caudrey-Dodd-Gibbon equation

Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali

The (G'/G)-expansion method for abundant traveling wave solutions of Caudrey-Dodd-Gibbon equation

Naher, Hasibun ; Abdullah, Farah Aini ; Akbar, M. Ali

Date: 2011

Citation:

Naher, H., Abdullah, F. A., & Akbar, M. A. (2011). The (G'/G)-expansion method for abundant traveling wave solutions of caudrey-dodd-gibbon equation. Mathematical Problems in Engineering, 2011 doi:10.1155/2011/218216

Abstract:

We construct the traveling wave solutions of the fifth-order Caudrey-Dodd-Gibbon (CDG) equation by the (G'/G) -expansion method. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, the trigonometric, and the rational functions. It is shown that the (G ′ / G) -expansion method is a powerful and concise mathematical tool for solving nonlinear partial differential equations.

Keywords:

Expansion methods; Mathematical tools; Nonlinear partial differential equations; Traveling wave solution; Wave solution; Nonlinear equations; Expansion; Hyperbolic functions; Partial differential equations; Rational functions

Description:

This article was published in the Mathematical Problems in Engineering [© 2011 Hasibun Naher et al.] and the definite version is available at : http://dx.doi.org/10.1155/2011/218216 The Journal's website is at: https://www.hindawi.com/journals/mpe/2011/218216/

Publisher Link: https://www.hindawi.com/journals/mpe/2011/218216/

DOI: http://dx.doi.org/10.1155/2011/218216