Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations

Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations

In this manuscript, we constructed different form of new exact solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations by utilizing the modified extended direct algebraic method. New exact traveling wave solutions for both equations are obtained in the form of soliton,...

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Main Authors: M. Arshad, Aly Seadawy, Dianchen Lu, Jun Wang
Format: Article
Language:English
Published: Elsevier 2016-01-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379716304041
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spelling doaj-0b48947168804e36bdeb459ce05f263a2020-11-24T23:59:51ZengElsevierResults in Physics2211-37972016-01-01611361145Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equationsM. Arshad0Aly Seadawy1Dianchen Lu2Jun Wang3Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR ChinaFaculty of Science, Taibah University, Al-Ula, Saudi Arabia; Mathematics Department, Faculty of Science, Beni-Suef University, Egypt; Corresponding author at: Faculty of Science, Taibah University, Al-Ula, Saudi Arabia.Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR ChinaIn this manuscript, we constructed different form of new exact solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations by utilizing the modified extended direct algebraic method. New exact traveling wave solutions for both equations are obtained in the form of soliton, periodic, bright, and dark solitary wave solutions. There are many applications of the present traveling wave solutions in physics and furthermore, a wide class of coupled nonlinear evolution equations can be solved by this method. Keywords: Traveling wave solutions, Elliptic solutions, Generalized coupled Zakharov–Kuznetsov equation, Dispersive long wave equation, Modified extended direct algebraic methodhttp://www.sciencedirect.com/science/article/pii/S2211379716304041
collection DOAJ
language English
format Article
sources DOAJ
author M. Arshad
Aly Seadawy
Dianchen Lu
Jun Wang
spellingShingle M. Arshad
Aly Seadawy
Dianchen Lu
Jun Wang
Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations
Results in Physics
author_facet M. Arshad
Aly Seadawy
Dianchen Lu
Jun Wang
author_sort M. Arshad
title Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations
title_short Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations
title_full Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations
title_fullStr Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations
title_full_unstemmed Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations
title_sort travelling wave solutions of generalized coupled zakharov–kuznetsov and dispersive long wave equations
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2016-01-01
description In this manuscript, we constructed different form of new exact solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations by utilizing the modified extended direct algebraic method. New exact traveling wave solutions for both equations are obtained in the form of soliton, periodic, bright, and dark solitary wave solutions. There are many applications of the present traveling wave solutions in physics and furthermore, a wide class of coupled nonlinear evolution equations can be solved by this method. Keywords: Traveling wave solutions, Elliptic solutions, Generalized coupled Zakharov–Kuznetsov equation, Dispersive long wave equation, Modified extended direct algebraic method
url http://www.sciencedirect.com/science/article/pii/S2211379716304041
work_keys_str_mv AT marshad travellingwavesolutionsofgeneralizedcoupledzakharovkuznetsovanddispersivelongwaveequations
AT alyseadawy travellingwavesolutionsofgeneralizedcoupledzakharovkuznetsovanddispersivelongwaveequations
AT dianchenlu travellingwavesolutionsofgeneralizedcoupledzakharovkuznetsovanddispersivelongwaveequations
AT junwang travellingwavesolutionsofgeneralizedcoupledzakharovkuznetsovanddispersivelongwaveequations
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