Invariant Characterization of Scalar Second‐Order ODEs That Admit Three Point Symmetry Lie Algebra via Cartan's Equivalence Method
Year: 2025
Type: article
Abstract: ABSTRACT Cartan's equivalence method is applied to explicitly construct three‐dimensional invariant coframes for three branches, which are used to characterize scalar second‐order ODEs with a three‐point symmetry Lie algebra. Additionally, we present a method for constructing the point transformation based on the derived invariant coframes. Example is provided to illustrate our approach.
DOI: 10.1002/mma.70162
Authors: Ahmad Y. Al‐Dweik, Marwan Aloqeili, Omar A. Abuloha, Batoul M. Raddad, Sondos R. Khalil, F. M. Mahomed
Institutions: Birzeit University, University of the Witwatersrand
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $5,000
OpenAlex ID: W4414522303