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Comment on " Application of Improved - Expansion Method to Traveling Wave Solutions of Two Nonlinear Evolution Equations, Adv. Appl. Math. Mech. 4(2012) 122-130"

by Elsayed M. E. Zayed, Yasser A. Amer, Reham M. A. Shohib
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 86 - Number 1
Year of Publication: 2014
Authors: Elsayed M. E. Zayed, Yasser A. Amer, Reham M. A. Shohib
10.5120/14952-3114

Elsayed M. E. Zayed, Yasser A. Amer, Reham M. A. Shohib . Comment on " Application of Improved - Expansion Method to Traveling Wave Solutions of Two Nonlinear Evolution Equations, Adv. Appl. Math. Mech. 4(2012) 122-130". International Journal of Computer Applications. 86, 1 ( January 2014), 26-36. DOI=10.5120/14952-3114

@article{ 10.5120/14952-3114,
author = { Elsayed M. E. Zayed, Yasser A. Amer, Reham M. A. Shohib },
title = { Comment on " Application of Improved - Expansion Method to Traveling Wave Solutions of Two Nonlinear Evolution Equations, Adv. Appl. Math. Mech. 4(2012) 122-130" },
journal = { International Journal of Computer Applications },
issue_date = { January 2014 },
volume = { 86 },
number = { 1 },
month = { January },
year = { 2014 },
issn = { 0975-8887 },
pages = { 26-36 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume86/number1/14952-3114/ },
doi = { 10.5120/14952-3114 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:03:06.836559+05:30
%A Elsayed M. E. Zayed
%A Yasser A. Amer
%A Reham M. A. Shohib
%T Comment on " Application of Improved - Expansion Method to Traveling Wave Solutions of Two Nonlinear Evolution Equations, Adv. Appl. Math. Mech. 4(2012) 122-130"
%J International Journal of Computer Applications
%@ 0975-8887
%V 86
%N 1
%P 26-36
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The authors of the above article proposed the improved - expansion method and found some traveling wave solutions for each of two nonlinear evolution equations in mathematical physics, namely the Regularized Long Wave (RLW) equation and the Symmetric Regularized Long Wave (SRLW) equation. In the present article, we have noted that if we use a suitable transformation, the improved (G'/G)-expansion method can be reduced into the well -known generalized Riccati equation mapping method which provides us with much more traveling wave solutions, namely twenty seven solutions for each of these two nonlinear evaluation equations. Comparison between the results of these two methods is presented.

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Index Terms

Computer Science
Information Sciences

Keywords

Improved - expansion method Generalized Riccati equation mapping method the nonlinear RLW equation the nonlinear SRLW equation traveling wave solutions

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