Examining (۳+۱)- ‎Dimensional Extended Sakovich Equation Using Lie Group Methods

‎In this paper‎, ‎we investigate the symmetry group of the (۳ + ۱)-‎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.

کلیدواژه ها:

Lie algebras ، ‎ Extended Sakovich equation‎ ، Invariant s‎olution‎ ، r‎eduction equations