Invariant Characterization of Scalar Second‐Order ODEs That Admit Three Point Symmetry Lie Algebra via Cartan's Equivalence Method
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.
Authors
- Marwan Aloqeili (ORCID: https://orcid.org/0000-0002-9030-1717)
- F. M. Mahomed (ORCID: https://orcid.org/0000-0002-6995-5820)
- Ahmad Y. Al‐Dweik (ORCID: https://orcid.org/0000-0003-0117-4259)
- S. Khalil (ORCID: https://orcid.org/0000-0002-3009-9510)
- Omar A. Abuloha
- Batoul M. Raddad
Institutions
- University of the Witwatersrand (ZA)
- Birzeit University (PS)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-09-24
- DOI
- https://doi.org/10.1002/mma.70162
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00