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

Manylion Llyfryddiaeth
Prif Awdur: Naher, Hasibun
Awduron Eraill: Abdullah, Farah Aini
Fformat: Erthygl
Iaith:English
Cyhoeddwyd: © 2013 AIP Advances 2016
Pynciau:
Mynediad Ar-lein:http://hdl.handle.net/10361/6870
http://dx.doi.org/10.1063/1.4794947
id 10361-6870
record_format dspace
spelling 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
institution Brac University
collection Institutional Repository
language 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
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