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On the dynamics of newly generated analytical solutions and conserved vectors of a generalized 3D KP-BBM equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 17 اردیبهشت 1403 اصل مقاله (3.92 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 existing in three dimensions. The Lie symmetry analysis of the equation is carried out step-by-step. In consequence, we found symmetries from which various group-invariant solutions results from which numerous solutions of interest that satisfy the KP-BBM equation are obtained. Solutions of interest secured include hyperbolic functions as well as elliptic functions with the latter being the more general of the two solutions. Besides, a good number of algebraic solutions with arbitrary functions are also achieved. Moreover, the dynamics of the solutions are further explored diagrammatically using computer software. In the concluding part, various conservation laws of the underlying model are constructed via the multiplier method as well as 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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آمار تعداد مشاهده مقاله: 47 تعداد دریافت فایل اصل مقاله: 63 |
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