Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
© 2012 AIP Advances
Abstract
In this article, we investigate the compound KdV-Burgers equation involving parameters by applying the improved (G′/G)-expansion method for constructing some new exact traveling wave solutions including solitons and periodic solutions. The second order linear ordinary differential equation with constant coefficients is used, in this method. The obtained solutions are presented through the hyperbolic, the trigonometric and the rational functions. Further, it is significant to point out that some of our solutions are in good agreement for special cases with the existing results which validates our other solutions. Moreover, some of the obtained solutions are described in the figures.
Description
This article was published in the AIP Advances [© 2012 Author(s). ] and the definite version is available at : http://dx.doi.org/10.1063/1.4769751 The Journal's website is at: http://scitation.aip.org/content/aip/journal/adva/2/4/10.1063/1.4769751
Keywords
Constant coefficients, Exact traveling wave solutions, Expansion methods, KdV-Burgers equation, Linear ordinary differential equations, Periodic solution, Second orders, Traveling wave solution
Citation
Naher, H., Abdullah, F. A., & Bekir, A. (2012). Abundant traveling wave solutions of the compound KdV-burgers equation via the improved (G′/G)-expansion method. AIP Advances, 2(4) doi:10.1063/1.4769751