Volume 22, Issue 1, December 2014, Pages 47 - 59
Reduction by λ –symmetries and σ –symmetries: a Frobenius approach
Authors
Paola Morando
DISAA, Università degli Studi di Milano, Via Celoria, 2, Milano, 20133, Italy.paola.morando@unimi.it
Received 6 May 2014, Accepted 25 September 2014, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2015.996439How to use a DOI?
- Keywords
- Solvable Structures; Reduction by Symmetries; Ordinary Differential Equations
- Abstract
Different kinds of reduction for ordinary differential equations, such as λ –symmetry and σ –symmetry reductions, are recovered as particular cases of Frobenius reduction theorem for distribution of vector fields. This general approach provides some hints to tackle the reconstruction problem and to solve it under suitable assumptions on the distribution involved in the reduction process.
- Copyright
- © 2015 The Authors. Published by Atlantis Press 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/).
Cite this article
TY - JOUR AU - Paola Morando PY - 2021 DA - 2021/01/06 TI - Reduction by λ –symmetries and σ –symmetries: a Frobenius approach JO - Journal of Nonlinear Mathematical Physics SP - 47 EP - 59 VL - 22 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2015.996439 DO - 10.1080/14029251.2015.996439 ID - Morando2021 ER -