2 papers
math.GM2026
Linearization Problem for Third-Order ODEs with Four- and Five-Dimensional Lie Symmetry Algebras under Contact Transformations
Omar A. Abuloha, Marwan Aloqeili, Ahmad Y. Al-Dweik +1
Using Cartan equivalence method, invariant coframes are constructed for two branches of rank one and zero, which characterize linearizable third-order ODEs under contact transforma…
math.GM2026
Equivalence Problem for Non-Linearizable Third-Order ODEs with Four-Dimensional Lie Symmetry Subalgebras under Point Transformations
Omar A. Abuloha, Marwan Aloqeili, Ahmad Y. Al-Dweik +1
Cartan's equivalence method is applied to explicitly construct invariant coframes for four branches, which are used to characterize all non-linearizable third-order ODEs with a fou…