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

Subject Areas : International Journal of Mathematical Modelling & Computations

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

Received: 2023-02-01 Accepted : 2023-03-15 Published : 2023-06-01

Keywords: Lie algebras, r‎eduction equations, ‎ Extended Sakovich equation‎, Invariant s‎olution‎,

Abstract :

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.