Linearisation of a second-order nonlinear ordinary differential equation
dc.contributor.author | Maharaj, Adhir | |
dc.contributor.author | Leach, Peter G. L. | |
dc.contributor.author | Govender, Megan | |
dc.contributor.author | Day, David P. | |
dc.date.accessioned | 2023-03-29T11:07:18Z | |
dc.date.available | 2023-03-29T11:07:18Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Acta Polytechnica. 2023, vol. 63, no. 1, p. 19-22. | |
dc.identifier.issn | 1210-2709 (print) | |
dc.identifier.issn | 1805-2363 (online) | |
dc.identifier.uri | http://hdl.handle.net/10467/107745 | |
dc.description.abstract | We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v. The eight Lie point symmetries obtained for the second-order ordinary differential equation is of maximal number and a representation of the sl(3,R) algebra. We extend this analysis to a more general nonlinear second-order differential equation and we obtain similar interesting algebraic properties. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | České vysoké učení technické v Praze | cs |
dc.publisher | Czech Technical University in Prague | en |
dc.relation.ispartofseries | Acta Polytechnica | |
dc.relation.uri | https://ojs.cvut.cz/ojs/index.php/ap/article/view/8351 | |
dc.rights | Creative Commons Attribution 4.0 International License | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.title | Linearisation of a second-order nonlinear ordinary differential equation | |
dc.type | article | en |
dc.date.updated | 2023-03-29T11:07:19Z | |
dc.identifier.doi | 10.14311/AP.2023.63.0019 | |
dc.rights.access | openAccess | |
dc.type.status | Peer-reviewed | |
dc.type.version | publishedVersion |
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