Examining (3+1)- Dimensional Extended Sakovich Equation Using Lie Group Methods
محورهای موضوعی : فصلنامه ریاضی
Yadollah AryaNejad
1
(Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, I.R. of Iran)
Mehdi Jafari
2
(Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, I.R. of Iran)
Asma Khalili
3
(Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, I.R. of Ira)
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.
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.
