Equivalence Problem for Non-Linearizable Third-Order ODEs with Four-Dimensional Lie Symmetry Subalgebras under Point Transformations

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Omar A. Abuloha, Marwan Aloqeili, Ahmad Yousef Al-Dweik, F. M. Mahomed
DOI: 10.48550/arxiv.2602.13317
Cited by: 0

Abstract

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 four-dimensional Lie symmetry subalgebra under point transformations. Additionally, we present a method for constructing the point transformations based on the derived invariant coframes. Examples are provided to illustrate our approach.

Fields of Study & Subjects

Advanced Differential Geometry Research Nonlinear Waves and Solitons Advanced Differential Equations and Dynamical Systems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
10 February 2026
Language
EN
Document type
Preprint