Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method
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Date
2012
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Publisher
© 2012 Mathematical Problems in Engineering
Abstract
We construct new exact traveling wave solutions involving free parameters of the nonlinear reaction diffusion equation by using the improved (G ′ /G)-expansion method. The second-order linear ordinary differential equation with constant coefficients is used in this method. The obtained solutions are presented by the hyperbolic and the trigonometric functions. The solutions become in special functional form when the parameters take particular values. It is important to reveal that our solutions are in good agreement with the existing results.
Description
This article was published in the Mathematical Problems in Engineering [© 2012 Hasibun Naher and Farah Aini Abdullah.] and the definite version is available at : http://dx.doi.org/10.1155/2012/871724 The Journal's website is at:https://www.hindawi.com/journals/mpe/2012/871724/
Keywords
Constant coefficients, Exact traveling wave solutions, Expansion methods, Free parameters, Functional forms, Linear ordinary differential equations, Nonlinear reaction-diffusion equations, Second orders, Traveling wave solution, Trigonometric functions
Citation
Naher, H., & Abdullah, F. A. (2012). Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method. Mathematical Problems in Engineering, 2012 doi:10.1155/2012/871724