Volume 25, Issue 2, March 2018, Pages 211 - 246
Symmetry Reduction of Ordinary Differential Equations Using Moving Frames
Authors
Francis Valiquette
Department of Mathematics, State University of New York at New Paltz, 1 Hawk Drive, New Paltz, NY 12561, USA,valiquef@newpaltz.edu
Received 27 March 2017, Accepted 29 November 2017, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2018.1452671How to use a DOI?
- Keywords
- Canonical variables; differential invariants; equivariant moving frames; Lie point symmetries; ordinary differential equations
- Abstract
The symmetry reduction algorithm for ordinary differential equations due to Sophus Lie is revisited using the method of equivariant moving frames. Using the recurrence formulas provided by the theory of equivariant moving frames, computations are performed symbolically without relying on the coordinate expressions for the canonical variables and the differential invariants occurring in Lie’s original procedure.
- Copyright
- © 2018 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Francis Valiquette PY - 2021 DA - 2021/01/06 TI - Symmetry Reduction of Ordinary Differential Equations Using Moving Frames JO - Journal of Nonlinear Mathematical Physics SP - 211 EP - 246 VL - 25 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2018.1452671 DO - 10.1080/14029251.2018.1452671 ID - Valiquette2021 ER -