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Lie symmetry analysis, optimal system, invariant solutions and conservation laws of the Manokov-Santini system | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 مهر 1405 اصل مقاله (3.81 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.63788.2855 | ||
| نویسنده | ||
| Muhammad Alim Abdulwahhab* | ||
| Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia. | ||
| چکیده | ||
| This article utilizes the symmetry method to perform an extensive analyses on the Manokov-Santini system. We show that it possesses infinite dimensional Lie algebra which are not closed in general except for a subalgebra. We use the generalized Lie algebra to exhaustively unearth the invariant solutions of the system under consideration using 2-level application of the Lie method. Furthermore, we show that the multipliers of the Manokov-Santini system are infinite and of first order. These facts are used to construct nontrivial conservation laws. | ||
| کلیدواژه‌ها | ||
| Conserve Vectors؛ Manokov-Santini System؛ Symmetry Method؛ Exact Solutions؛ Nonlinear System | ||
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آمار تعداد مشاهده مقاله: 6 تعداد دریافت فایل اصل مقاله: 7 |
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