Invariant solutions and conservation laws of time-dependent negative-order (vnCBS) equation

We apply the basic Lie symmetry method to investigate the time-dependent negative-order Calogero-Bogoyavlenskii-Schiff (vnCBS) equation‎. ‎In this case‎, ‎the symmetry classification problem is answered‎. ‎We obtain symmetry algebra‎ ‎and create the optimal system of Lie subalgebras. We obtain the symmetry reductions and invariant solutions of the considered equation using these vector fields‎. ‎Finally‎, ‎we determine the conservation laws of the vnCBS equation via the Bluman-Anco homotopy formula‎.