New approach of (G′G)-expansion method and new approach of generalized (G′G)-expansion method for nonlinear evolution equation
No Thumbnail Available
Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
© 2013 AIP Advances
Abstract
In this article, new (G′G)-expansion method and new generalized (G′G)-expansion method is proposed to generate more general and abundant new exact traveling wave solutions of nonlinear evolution equations. The novelty and advantages of these methods is exemplified by its implementation to the KdV equation. The results emphasize the power of proposed methods in providing distinct solutions of different physical structures in nonlinear science. Moreover, these methods could be more effectively used to deal with higher dimensional and higher order nonlinear evolution equations which frequently arise in many scientific real time application fields.
Description
This article was published inAIP Advances [ © 2013 Copyright Author(s) ] and the definite version is available at : http://dx.doi.org/10.1063/1.4794947 The Journal's website is at: http://scitation.aip.org/content/aip/journal/adva/3/3/10.1063/1.4794947
Keywords
Exact traveling wave solutions, Expansion methods, Higher-dimensional, New approaches, Nonlinear evolution equation, Nonlinear science, Physical structures, Real-time application
Citation
Naher, H., & Abdullah, F. A. (2013). New approach of (G′G)-expansion method and new approach of generalized (G′G)-expansion method for nonlinear evolution equation. AIP Advances, 3(3) doi:10.1063/1.4794947