Symmetry gaps for higher order ordinary differential equations

Permanent link
https://hdl.handle.net/10037/26524
DOI
https://doi.org/10.1016/j.jmaa.2022.126475
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Date
2022-07-04
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Kessy, Johnson Allen; The, Dennis
Abstract
The maximal contact symmetry dimensions for scalar ODEs of order ≥ 4 and vector ODEs of order ≥ 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.
Is part of
Kessy, J.A. (2023). Cartan-Geometric Approaches to Submaximally Symmetric Ordinary Differential Equations. (Doctoral thesis). https://hdl.handle.net/10037/28883.
Publisher
Elsevier
Citation
Kessy, The. Symmetry gaps for higher order ordinary differential equations. Journal of Mathematical Analysis and Applications. 2022
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Copyright 2022 The Author(s)