Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation

Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation

This article was published in the PLoS ONE [© 2013 Naher et al.] and the definite version is available at :http://dx.doi.org/10.1371/journal.pone.0064618 The Journal's website is at: http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0064618

Bibliographic Details
Main Authors: Naher, Hasibun, Abdullah, Farah Aini, Akbar, M. Ali
Other Authors: Department of Mathematics and Natural Sciences, BRAC University
Format: Article
Language:English
Published: © 2013 PLoS ONE 2016
Subjects:
Computer program
KdV Zakharov Kuznetsev equation
Mathematical analysis
Mathematical parameters
Nonlinear partial differential equation
Nonlinear system
Online Access:http://hdl.handle.net/10361/6869
http://dx.doi.org/10.1371/journal.pone.0064618
id 10361-6869
record_format dspace
spelling 10361-68692016-11-17T04:27:37Z Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation Naher, Hasibun Abdullah, Farah Aini Akbar, M. Ali Department of Mathematics and Natural Sciences, BRAC University Computer program KdV Zakharov Kuznetsev equation Mathematical analysis Mathematical parameters Nonlinear partial differential equation Nonlinear system This article was published in the PLoS ONE [© 2013 Naher et al.] and the definite version is available at :http://dx.doi.org/10.1371/journal.pone.0064618 The Journal's website is at: http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0064618 The generalized and improved G′/G-expansion method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. In this article, we investigate the higher dimensional nonlinear evolution equation, namely, the (3+1)-dimensional modified KdV-Zakharov-Kuznetsev equation via this powerful method. The solutions are found in hyperbolic, trigonometric and rational function form involving more parameters and some of our constructed solutions are identical with results obtained by other authors if certain parameters take special values and some are new. The numerical results described in the figures were obtained with the aid of commercial software Maple. Published 2016-11-17T04:25:13Z 2016-11-17T04:25:13Z 2013 Article 19326203 http://hdl.handle.net/10361/6869 http://dx.doi.org/10.1371/journal.pone.0064618 en http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0064618 © 2013 PLoS ONE
institution Brac University
collection Institutional Repository
language English
topic Computer program
KdV Zakharov Kuznetsev equation
Mathematical analysis
Mathematical parameters
Nonlinear partial differential equation
Nonlinear system
spellingShingle Computer program
KdV Zakharov Kuznetsev equation
Mathematical analysis
Mathematical parameters
Nonlinear partial differential equation
Nonlinear system
Naher, Hasibun
Abdullah, Farah Aini
Akbar, M. Ali
Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation
description This article was published in the PLoS ONE [© 2013 Naher et al.] and the definite version is available at :http://dx.doi.org/10.1371/journal.pone.0064618 The Journal's website is at: http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0064618
author2 Department of Mathematics and Natural Sciences, BRAC University
author_facet Department of Mathematics and Natural Sciences, BRAC University
Naher, Hasibun
Abdullah, Farah Aini
Akbar, M. Ali
format Article
author Naher, Hasibun
Abdullah, Farah Aini
Akbar, M. Ali
author_sort Naher, Hasibun
title Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation
title_short Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation
title_full Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation
title_fullStr Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation
title_full_unstemmed Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation
title_sort generalized and improved (g′/g)-expansion method for (3+1)-dimensional modified kdv-zakharov-kuznetsev equation
publisher © 2013 PLoS ONE
publishDate 2016
url http://hdl.handle.net/10361/6869
http://dx.doi.org/10.1371/journal.pone.0064618
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AT abdullahfarahaini generalizedandimprovedggexpansionmethodfor31dimensionalmodifiedkdvzakharovkuznetsevequation
AT akbarmali generalizedandimprovedggexpansionmethodfor31dimensionalmodifiedkdvzakharovkuznetsevequation
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