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

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Date
2011
Publisher
© 2011 Mathematical Problems in Engineering
Author
Naher, Hasibun
Abdullah, Farah Aini
Akbar, M. Ali
Metadata
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URI
http://hdl.handle.net/10361/6889
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
Department
Department of Mathematics and Natural Sciences, BRAC University
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