Journal of Mahani Mathematical Research (Aug 2024)
Invariant solutions and conservation laws of time-dependent negative-order (vnCBS) equation
Abstract
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.
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