Lie algebra classification, conservation laws, and invariant solutions for a generalization of the Levinson-Smith equation
type: Item
instance of: scholarly article
title: Lie algebra classification, conservation laws, and invariant solutions for a generalization of the Levinson-Smith equation
zbMATH Open document ID: 1481.35021
DOI: 10.1155/2021/6628243
author: G. Loaiza
author: Y. Acevedo
author: O. M. L. Duque
author: Danilo A. García Hernández
published in: International Journal of Differential Equations
publication date: 2022-01-06T00:00:00Z
review text: Summary: We obtain the optimal system's generating operators associated with a generalized Levinson-Smith equation; this one is related to the Liénard equation which is important for physical, mathematical, and engineering points of view. The underlying equation has applications in mechanics and nonlinear dynamics as well. This equation has been widely studied in the qualitative scheme. Here, we treat the equation by using the Lie group method, and we obtain certain operators; using those operators, we characterized all invariants solutions associated with the generalized equation of Levinson Smith considered in this paper. Finally, we classify the Lie algebra associated with the given equation.
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35G20
zbMATH DE Number: 7453303
zbMATH Keywords: Lie group method
Wikidata QID: Q115243656
describes a project that uses: SYM
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6628243
OpenAlex ID: W3161253761
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description: scientific article; zbMATH DE number 7453303