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Examining (3+1)- Dimensional Extended Sakovich Equation Using Lie Group Methods | ||
| International Journal of Mathematical Modelling & Computations | ||
| دوره 13، 2 (SPRING) - شماره پیاپی 50، شهریور 2023 | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.30495/ijm2c.2023.1974373.1269 | ||
| نویسندگان | ||
| Yadollah AryaNejad* 1؛ Mehdi Jafari2؛ Asma Khalili3 | ||
| 1Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, I.R. of Iran | ||
| 2‎Department of Mathematics, Payame Noor University, P‎.O. ‎Box‎ 19395-3697, Tehran, I.R. ‎of Iran. | ||
| 3‎Department of Mathematics, Payame Noor University. | ||
| چکیده | ||
| In this paper, we investigate the symmetry group of the (3 + 1)-dimensional Sakovich equation. We obtain the classical and non-classical Lie symmetries for the equation under consideration. Therefore, we respond to the question of classification of the equation symmetries and, as a result, its invariant solutions. Presenting the algebra of symmetries and utilizing Ibragimov’s method, we create the optimal system of Lie subalgebras. We obtain the symmetry reductions and invariant solutions of the considered equation using these vector fields. | ||
| کلیدواژهها | ||
| Lie algebras؛ Extended Sakovich equation؛ Invariant solution؛ Reduction equations | ||
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آمار تعداد مشاهده مقاله: 65 |
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