Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method

Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method

This article deals with finding some exact solutions of nonlinear fractional differential equations (NLFDEs) by applying a relatively new method known as G′G2-expansion method. Solutions of space–time fractional Sharma-Tasso-Olever (STO) equation of fractional order and (3+1)-dimensional KdV-Zakharo...

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Main Authors: Sadaf Bibi, Syed Tauseef Mohyud-Din, Rahmat Ullah, Naveed Ahmed, Umar Khan
Format: Article
Language:English
Published: Elsevier 2017-01-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379717321307
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spelling doaj-47613645a5ce4b7f87a8cec4230b4bab2020-11-25T02:06:25ZengElsevierResults in Physics2211-37972017-01-01744344439Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion methodSadaf Bibi0Syed Tauseef Mohyud-Din1Rahmat Ullah2Naveed Ahmed3Umar Khan4Department of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt, PakistanUniversity of Islamabad (UoI), Islamabad, PakistanDepartment of Mathematics and Statistics, Faculty of Basic & Applied Sciences, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt, Pakistan; Corresponding author.Department of Mathematics, COMSATS Institute of Information Technology Abbottabad, PakistanThis article deals with finding some exact solutions of nonlinear fractional differential equations (NLFDEs) by applying a relatively new method known as G′G2-expansion method. Solutions of space–time fractional Sharma-Tasso-Olever (STO) equation of fractional order and (3+1)-dimensional KdV-Zakharov Kuznetsov (KdV-ZK) equation of fractional order are reckoned to demonstrate the validity of this method. The fractional derivative version of modified Riemann–Liouville, linked with Fractional complex transform is employed to transform fractional differential equations into the corresponding ordinary differential equations. Keywords: Sharma Tasso-Olever (STO) equation, (3+1)-Dimensional KdV-Zakharov Kuznetsov (KdV-ZK) equation, Exact solutions, G′G2-expansion methodhttp://www.sciencedirect.com/science/article/pii/S2211379717321307
collection DOAJ
language English
format Article
sources DOAJ
author Sadaf Bibi
Syed Tauseef Mohyud-Din
Rahmat Ullah
Naveed Ahmed
Umar Khan
spellingShingle Sadaf Bibi
Syed Tauseef Mohyud-Din
Rahmat Ullah
Naveed Ahmed
Umar Khan
Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method
Results in Physics
author_facet Sadaf Bibi
Syed Tauseef Mohyud-Din
Rahmat Ullah
Naveed Ahmed
Umar Khan
author_sort Sadaf Bibi
title Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method
title_short Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method
title_full Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method
title_fullStr Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method
title_full_unstemmed Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method
title_sort exact solutions for sto and (3+1)-dimensional kdv-zk equations using g′g2-expansion method
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2017-01-01
description This article deals with finding some exact solutions of nonlinear fractional differential equations (NLFDEs) by applying a relatively new method known as G′G2-expansion method. Solutions of space–time fractional Sharma-Tasso-Olever (STO) equation of fractional order and (3+1)-dimensional KdV-Zakharov Kuznetsov (KdV-ZK) equation of fractional order are reckoned to demonstrate the validity of this method. The fractional derivative version of modified Riemann–Liouville, linked with Fractional complex transform is employed to transform fractional differential equations into the corresponding ordinary differential equations. Keywords: Sharma Tasso-Olever (STO) equation, (3+1)-Dimensional KdV-Zakharov Kuznetsov (KdV-ZK) equation, Exact solutions, G′G2-expansion method
url http://www.sciencedirect.com/science/article/pii/S2211379717321307
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