Invariant characterization of scalar third-order ODEs that admit the maximal contact symmetry Lie algebra

Omar A. Abuloha, Marwan Aloqeili, Ahmad Y. Al-Dweik +2

The Cartan equivalence method is utilized to deduce an invariant characterization of the scalar third-order ordinary differential equation $u^{\prime \prime \prime }=f(x,u,u^{\prime },u^{\prime \prime })$ which admits the max…