Dynamical behaviour of shallow water waves and solitary wave solutions of the Dullin-Gottwald-Holm dynamical system

In this article, we recover a variety of new families of shallow water wave and solitary wave solutions to the (1+1)-dimensional Dullin “Gottwald” Holm (DGH) system by employing new extended direct algebraic method (NEDAM). The derived results are obtained in diverse hyperbolic and periodic function...

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Autores principales: M.H. Raddadi, M. Younis, Aly R. Seadawy, S.U. Rehman, M. Bilal, S.T.R. Rizvi, Ali Althobaiti
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Publicado: Elsevier 2021
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Acceso en línea:https://doaj.org/article/3dbac7b79e384df3981309a7682fc0bd
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spelling oai:doaj.org-article:3dbac7b79e384df3981309a7682fc0bd2021-11-18T04:44:11ZDynamical behaviour of shallow water waves and solitary wave solutions of the Dullin-Gottwald-Holm dynamical system1018-364710.1016/j.jksus.2021.101627https://doaj.org/article/3dbac7b79e384df3981309a7682fc0bd2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1018364721002895https://doaj.org/toc/1018-3647In this article, we recover a variety of new families of shallow water wave and solitary wave solutions to the (1+1)-dimensional Dullin “Gottwald” Holm (DGH) system by employing new extended direct algebraic method (NEDAM). The derived results are obtained in diverse hyperbolic and periodic function forms. The attained solutions are new addition in the study of solitary wave and shallow water wave theory. In addition, 3-dimensional, 2-dimensional, and contour graphs of secured results are plotted in order to observe their dynamics with the choices of involved parameters. On the basis of achieved outcomes, we may claim that the proposed computational method is direct, dynamics, well organized, and will be useful for solving the more complicated nonlinear problems in diverse areas together with symbolic computations.M.H. RaddadiM. YounisAly R. SeadawyS.U. RehmanM. BilalS.T.R. RizviAli AlthobaitiElsevierarticleShallow water wavesSolitary water waves(1+1)-Dimensional DGH systemNEDAMIntegrabilityScience (General)Q1-390ENJournal of King Saud University: Science, Vol 33, Iss 8, Pp 101627- (2021)
institution DOAJ
collection DOAJ
language EN
topic Shallow water waves
Solitary water waves
(1+1)-Dimensional DGH system
NEDAM
Integrability
Science (General)
Q1-390
spellingShingle Shallow water waves
Solitary water waves
(1+1)-Dimensional DGH system
NEDAM
Integrability
Science (General)
Q1-390
M.H. Raddadi
M. Younis
Aly R. Seadawy
S.U. Rehman
M. Bilal
S.T.R. Rizvi
Ali Althobaiti
Dynamical behaviour of shallow water waves and solitary wave solutions of the Dullin-Gottwald-Holm dynamical system
description In this article, we recover a variety of new families of shallow water wave and solitary wave solutions to the (1+1)-dimensional Dullin “Gottwald” Holm (DGH) system by employing new extended direct algebraic method (NEDAM). The derived results are obtained in diverse hyperbolic and periodic function forms. The attained solutions are new addition in the study of solitary wave and shallow water wave theory. In addition, 3-dimensional, 2-dimensional, and contour graphs of secured results are plotted in order to observe their dynamics with the choices of involved parameters. On the basis of achieved outcomes, we may claim that the proposed computational method is direct, dynamics, well organized, and will be useful for solving the more complicated nonlinear problems in diverse areas together with symbolic computations.
format article
author M.H. Raddadi
M. Younis
Aly R. Seadawy
S.U. Rehman
M. Bilal
S.T.R. Rizvi
Ali Althobaiti
author_facet M.H. Raddadi
M. Younis
Aly R. Seadawy
S.U. Rehman
M. Bilal
S.T.R. Rizvi
Ali Althobaiti
author_sort M.H. Raddadi
title Dynamical behaviour of shallow water waves and solitary wave solutions of the Dullin-Gottwald-Holm dynamical system
title_short Dynamical behaviour of shallow water waves and solitary wave solutions of the Dullin-Gottwald-Holm dynamical system
title_full Dynamical behaviour of shallow water waves and solitary wave solutions of the Dullin-Gottwald-Holm dynamical system
title_fullStr Dynamical behaviour of shallow water waves and solitary wave solutions of the Dullin-Gottwald-Holm dynamical system
title_full_unstemmed Dynamical behaviour of shallow water waves and solitary wave solutions of the Dullin-Gottwald-Holm dynamical system
title_sort dynamical behaviour of shallow water waves and solitary wave solutions of the dullin-gottwald-holm dynamical system
publisher Elsevier
publishDate 2021
url https://doaj.org/article/3dbac7b79e384df3981309a7682fc0bd
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