4 papers · 1 filter
Linearization Problem for a System of Two Second-Order ODEs via Cartan's Method: Branch I
Batoul M. Raddad, Ahmad Y. Al-Dweik, Marwan Aloqeili +1
Cartan's method classifies the class of linearizable system of two second-order ODEs into many branches. This paper investigates Branch I of the classification, characterized by a…
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…
Equivalence Problem for Non-Linearizable Fourth-Order ODEs with Five-Dimensional Lie Symmetry subalgebra via Inductive Cartan Equivalence Method
Sondos R. Khalil, Ahmad Y. Al-Dweik, Marwan Aloqeili +1
Four coframes of invariant 1-forms are explicitly constructed using the Inductive Cartan equivalence method with rank zero corresponding to four distinct branches. These coframes a…
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…