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Khalique, Chaudry, Adeyemo, Oke, Gaxela, Yanga. (1403). On the dynamics of newly generated analytical solutions and conserved vectors of a generalized 3D KP-BBM equation. سامانه مدیریت نشریات علمی, 13(2), 682-708. doi: 10.22034/cmde.2024.60476.2589
Chaudry Masood Khalique; Oke Davies Adeyemo; Yanga Gaxela. "On the dynamics of newly generated analytical solutions and conserved vectors of a generalized 3D KP-BBM equation". سامانه مدیریت نشریات علمی, 13, 2, 1403, 682-708. doi: 10.22034/cmde.2024.60476.2589
Khalique, Chaudry, Adeyemo, Oke, Gaxela, Yanga. (1403). 'On the dynamics of newly generated analytical solutions and conserved vectors of a generalized 3D KP-BBM equation', سامانه مدیریت نشریات علمی, 13(2), pp. 682-708. doi: 10.22034/cmde.2024.60476.2589
Khalique, Chaudry, Adeyemo, Oke, Gaxela, Yanga. On the dynamics of newly generated analytical solutions and conserved vectors of a generalized 3D KP-BBM equation. سامانه مدیریت نشریات علمی, 1403; 13(2): 682-708. doi: 10.22034/cmde.2024.60476.2589

On the dynamics of newly generated analytical solutions and conserved vectors of a generalized 3D KP-BBM equation

Computational Methods for Differential Equations
مقاله 24، دوره 13، شماره 2، خرداد 2025، صفحه 682-708    اصل مقاله (2.85 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60476.2589
نویسندگان
Chaudry Masood Khalique* 1؛ Oke Davies Adeyemo2؛ Yanga Gaxela2
1Material Science, Innovation and Modelling Research Focus Area, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, Republic of South Africa.
2Material Science, Innovation and Modelling Research Focus Area, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, Republic of South Africa.
چکیده
This paper examines a high-dimensional non-linear partial differential equation called the generalized Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation exists in three dimensions. The Lie symmetry analysis of the equation is carried out step-by-step. As a result, we found symmetries from which various group-invariant solutions arise, leading to numerous solutions of interest that satisfy the KP-BBM equation. Secured solutions of interest include hyperbolic functions and elliptic functions, with the latter being the more general of the two solutions. Additionally, a significant number of algebraic solutions with arbitrary functions are also obtained. Furthermore, the dynamics of the solutions are further explored diagrammatically using computer software. In the concluding section, various conservation laws of the underlying model are derived via the multiplier method and the Noether theorem. 
کلیدواژه‌ها
A generalized three-dimensional KP-BBM equation؛ Lie symmetry analysis؛ Group-invariant and analytical solutions؛ Conservation laws
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