Characteristic of ion-acoustic waves described in the solutions of the (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation

• Autorzy: Mahmud Adnan Ahmad , Tanriverdi Tanfer , Muhamad Kalsum Abdulrahman , Baskonus Haci Mehmet

Identyfikatory

DOI

10.17512/jamcm.2023.2.04

• Języki publikacji: EN

Abstrakty

EN

The generalized Korteweg-de Varies-Zakharov-Kuznetsov equation (gKdV-ZK) in (3+1)-dimension has been investigated in this research. This model is used to elucidate how a magnetic field affects the weak ion-acoustic wave in the field of plasma physics. To deftly analyze the wide range of wave structures, we utilized the modified extended tanh and the extended rational sinh-cosh methods. Hyperbolic, periodic, and travelling wave solutions are presented as the results. Consequently, solitary wave solutions are also attained. This study shows that the solutions reported here are distinctive when our findings are contrasted against well-known outcomes. Moreover, realized findings are figured out in 3-dimensional, 2-dimensional, and contour profile graphs for the reader to comprehend their dynamics due to parameter selection. According to the findings, we can conclude that the suggested computational techniques are simple, dynamic, and well-organized. These methods are very functional for numerical calculations of complex nonlinear problems. Our results include a fundamental starting point in understanding physical behavior and the structure of the studied systems.

Słowa kluczowe

EN

(3+1)-dimensional generalized Korteweg-de Varies-Zakharov-Kuznetsov equation; extended rational sinh-cosh method; modified extended tanh method; travelling wave transformation

PL

rozszerzona racjonalna metoda sinh-cosh; rozszerzona metoda tanh; transformacja fali biegnącej

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 2
• Strony: 36--48
• Opis fizyczny: Bibliogr. 30 poz., rys.

Twórcy

autor

Mahmud Adnan Ahmad

• Harran University, Faculty of Arts and Sciences, Department of Mathematics, 63290 Şanliurfa, Turkey

autor

Tanriverdi Tanfer

• Harran University, Faculty of Arts and Sciences, Department of Mathematics, 63290 Şanliurfa, Turkey

autor

Muhamad Kalsum Abdulrahman

• Harran University, Faculty of Arts and Sciences, Department of Mathematics, 63290 Şanliurfa, Turkey

autor

Baskonus Haci Mehmet

• Harran University, Faculty of Education, Department of Mathematics and Science Education, 63190 Şanliurfa, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).