Invariant characterization of third-order ODEs $u^{\prime \prime \prime }=f(x,u,u^{\prime },u^{\prime \prime })$ that admit a five-dimensional point symmetry Lie algebra

Ahmad Y. Al-Dweik, M. T. Mustafa, F. M. Mahomed

The Cartan equivalence method is applied to provide an invariant characterization of the third-order ordinary differential equation $u^{\prime \prime \prime }=f(x,u,u^{\prime },u^{\prime \prime })$ which admits a five-dimensi…