New approach of (G′G)-expansion method and new approach of generalized (G′G)-expansion method for nonlinear evolution equation
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
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10361-68702016-11-17T04:50:51Z New approach of (G′G)-expansion method and new approach of generalized (G′G)-expansion method for nonlinear evolution equation Naher, Hasibun Abdullah, Farah Aini Department of Mathematics and Natural Sciences, BRAC University Exact traveling wave solutions Expansion methods Higher-dimensional New approaches Nonlinear evolution equation Nonlinear science Physical structures Real-time application 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 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. Published 2016-11-17T04:47:07Z 2016-11-17T04:47:07Z 2013 Article 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 21583226 http://hdl.handle.net/10361/6870 http://dx.doi.org/10.1063/1.4794947 en http://scitation.aip.org/content/aip/journal/adva/3/3/10.1063/1.4794947 © 2013 AIP Advances |
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Brac University |
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Institutional Repository |
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English |
topic |
Exact traveling wave solutions Expansion methods Higher-dimensional New approaches Nonlinear evolution equation Nonlinear science Physical structures Real-time application |
spellingShingle |
Exact traveling wave solutions Expansion methods Higher-dimensional New approaches Nonlinear evolution equation Nonlinear science Physical structures Real-time application Naher, Hasibun New approach of (G′G)-expansion method and new approach of generalized (G′G)-expansion method for nonlinear evolution equation |
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 |
author2 |
Abdullah, Farah Aini |
author_facet |
Abdullah, Farah Aini Naher, Hasibun |
format |
Article |
author |
Naher, Hasibun |
author_sort |
Naher, Hasibun |
title |
New approach of (G′G)-expansion method and new approach of generalized (G′G)-expansion method for nonlinear evolution equation |
title_short |
New approach of (G′G)-expansion method and new approach of generalized (G′G)-expansion method for nonlinear evolution equation |
title_full |
New approach of (G′G)-expansion method and new approach of generalized (G′G)-expansion method for nonlinear evolution equation |
title_fullStr |
New approach of (G′G)-expansion method and new approach of generalized (G′G)-expansion method for nonlinear evolution equation |
title_full_unstemmed |
New approach of (G′G)-expansion method and new approach of generalized (G′G)-expansion method for nonlinear evolution equation |
title_sort |
new approach of (g′g)-expansion method and new approach of generalized (g′g)-expansion method for nonlinear evolution equation |
publisher |
© 2013 AIP Advances |
publishDate |
2016 |
url |
http://hdl.handle.net/10361/6870 http://dx.doi.org/10.1063/1.4794947 |
work_keys_str_mv |
AT naherhasibun newapproachofggexpansionmethodandnewapproachofgeneralizedggexpansionmethodfornonlinearevolutionequation |
_version_ |
1814307175490650112 |