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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2021
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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) |
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Shallow water waves Solitary water waves (1+1)-Dimensional DGH system NEDAM Integrability Science (General) Q1-390 |
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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 |
work_keys_str_mv |
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