Symmetry gaps for higher order ordinary differential equations

Autor:	Kessy, Johnson Allen, The, Dennis
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry Primary: 35B06 53A55 Secondary: 17B66 57M60
Zdroj:	Journal of Mathematical Analysis and Applications 2022
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jmaa.2022.126475
Popis:	The maximal contact symmetry dimensions for scalar ODEs of order $\ge 4$ and vector ODEs of order $\ge 3$ are well known. Using a Cartan-geometric approach, we determine for these ODEs the next largest realizable (submaximal) symmetry dimension. Moreover, finer curvature-constrained submaximal symmetry dimensions are also classified. Comment: 18 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.03954 Zobrazit plný text záznamu View this record from Arxiv