Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations

An analytic study was conducted on coupled partial differential equations. We formally derived new solitary wave solutions of generalized coupled system of Zakharov-Kuznetsov (ZK) and KdV equations by using modified extended tanh method. The traveling wave solutions for each generalized coupled syst...

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Detalles Bibliográficos
Autores principales: Seadawy, A. R., El-Rashidy, K.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4211322/
https://www.ncbi.nlm.nih.gov/pubmed/25374940
http://dx.doi.org/10.1155/2014/724759
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author Seadawy, A. R.
El-Rashidy, K.
author_facet Seadawy, A. R.
El-Rashidy, K.
author_sort Seadawy, A. R.
collection PubMed
description An analytic study was conducted on coupled partial differential equations. We formally derived new solitary wave solutions of generalized coupled system of Zakharov-Kuznetsov (ZK) and KdV equations by using modified extended tanh method. The traveling wave solutions for each generalized coupled system of ZK and KdV equations are shown in form of periodic, dark, and bright solitary wave solutions. The structures of the obtained solutions are distinct and stable.
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spelling pubmed-42113222014-11-05 Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations Seadawy, A. R. El-Rashidy, K. ScientificWorldJournal Research Article An analytic study was conducted on coupled partial differential equations. We formally derived new solitary wave solutions of generalized coupled system of Zakharov-Kuznetsov (ZK) and KdV equations by using modified extended tanh method. The traveling wave solutions for each generalized coupled system of ZK and KdV equations are shown in form of periodic, dark, and bright solitary wave solutions. The structures of the obtained solutions are distinct and stable. Hindawi Publishing Corporation 2014-10-12 /pmc/articles/PMC4211322/ /pubmed/25374940 http://dx.doi.org/10.1155/2014/724759 Text en Copyright © 2014 A. R. Seadawy and K. El-Rashidy. https://creativecommons.org/licenses/by/3.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Seadawy, A. R.
El-Rashidy, K.
Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations
title Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations
title_full Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations
title_fullStr Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations
title_full_unstemmed Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations
title_short Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations
title_sort water wave solutions of the coupled system zakharov-kuznetsov and generalized coupled kdv equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4211322/
https://www.ncbi.nlm.nih.gov/pubmed/25374940
http://dx.doi.org/10.1155/2014/724759
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