Examining (3+1)- ‎Dimensional Extended Sakovich Equation Using Lie Group Methods

محورهای موضوعی : فصلنامه ریاضی

Yadollah AryaNejad ¹ , Mehdi Jafari ² , Asma Khalili ³

1 - Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, I.R. of Iran
2 - Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, I.R. of Iran
3 - Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, I.R. of Ira

تاریخ دریافت : 1401/11/12 تاریخ پذیرش : 1401/12/24 تاریخ انتشار : 1402/03/11

کلید واژه: Lie algebras, r‎eduction equations, ‎ Extended Sakovich equation‎, Invariant s‎olution‎,

چکیده مقاله :

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.

چکیده انگلیسی:

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.