An efficient technique for higher order fractional differential equation

In this study, we establish exact solutions of fractional Kawahara equation by using the idea of [Formula: see text] -expansion method. The results of different studies show that the method is very effective and can be used as an alternative for finding exact solutions of nonlinear evolution equatio...

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Detalles Bibliográficos
Autores principales: Ali, Ayyaz, Iqbal, Muhammad Asad, UL-Hassan, Qazi Mahmood, Ahmad, Jamshad, Mohyud-Din, Syed Tauseef
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4779450/
https://www.ncbi.nlm.nih.gov/pubmed/27047707
http://dx.doi.org/10.1186/s40064-016-1905-2
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author Ali, Ayyaz
Iqbal, Muhammad Asad
UL-Hassan, Qazi Mahmood
Ahmad, Jamshad
Mohyud-Din, Syed Tauseef
author_facet Ali, Ayyaz
Iqbal, Muhammad Asad
UL-Hassan, Qazi Mahmood
Ahmad, Jamshad
Mohyud-Din, Syed Tauseef
author_sort Ali, Ayyaz
collection PubMed
description In this study, we establish exact solutions of fractional Kawahara equation by using the idea of [Formula: see text] -expansion method. The results of different studies show that the method is very effective and can be used as an alternative for finding exact solutions of nonlinear evolution equations (NLEEs) in mathematical physics. The solitary wave solutions are expressed by the hyperbolic, trigonometric, exponential and rational functions. Graphical representations along with the numerical data reinforce the efficacy of the used procedure. The specified idea is very effective, expedient for fractional PDEs, and could be extended to other physical problems.
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spelling pubmed-47794502016-04-04 An efficient technique for higher order fractional differential equation Ali, Ayyaz Iqbal, Muhammad Asad UL-Hassan, Qazi Mahmood Ahmad, Jamshad Mohyud-Din, Syed Tauseef Springerplus Research In this study, we establish exact solutions of fractional Kawahara equation by using the idea of [Formula: see text] -expansion method. The results of different studies show that the method is very effective and can be used as an alternative for finding exact solutions of nonlinear evolution equations (NLEEs) in mathematical physics. The solitary wave solutions are expressed by the hyperbolic, trigonometric, exponential and rational functions. Graphical representations along with the numerical data reinforce the efficacy of the used procedure. The specified idea is very effective, expedient for fractional PDEs, and could be extended to other physical problems. Springer International Publishing 2016-03-05 /pmc/articles/PMC4779450/ /pubmed/27047707 http://dx.doi.org/10.1186/s40064-016-1905-2 Text en © Ali et al. 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Ali, Ayyaz
Iqbal, Muhammad Asad
UL-Hassan, Qazi Mahmood
Ahmad, Jamshad
Mohyud-Din, Syed Tauseef
An efficient technique for higher order fractional differential equation
title An efficient technique for higher order fractional differential equation
title_full An efficient technique for higher order fractional differential equation
title_fullStr An efficient technique for higher order fractional differential equation
title_full_unstemmed An efficient technique for higher order fractional differential equation
title_short An efficient technique for higher order fractional differential equation
title_sort efficient technique for higher order fractional differential equation
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4779450/
https://www.ncbi.nlm.nih.gov/pubmed/27047707
http://dx.doi.org/10.1186/s40064-016-1905-2
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