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Lie algebra classification, conservation laws and invariant solutions for the kind generalization of the Duffing-type equation

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dc.citation.epage2721
dc.citation.journalTitleRendiconti del Circolo Matematico di Palermo Series 2
dc.citation.spage2709
dc.citation.volume73
dc.contributor.affiliationUNICAMP
dc.contributor.affiliationUniversidad EAFIT
dc.contributor.authorLondoño, Oscar
dc.contributor.authorGarcía, Danilo
dc.contributor.authorLoaiza, Gabriel
dc.contributor.authorAcevedo, Yeisson
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupMatemáticas y Aplicacionesspa
dc.coverage.spatialMedellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees
dc.creator.emailyaceved2@eafit.edu.co
dc.date.accessioned2025-01-08T20:12:21Z
dc.date.available2025-01-08T20:12:21Z
dc.date.issued2024-06-10
dc.description.abstractThis paper makes significant contributions to the study of a generalized form of the Duffing-type equation. We derive the generating operators of the optimal system associated with this equation, enabling us to characterize an implicit solution. Additionally, we present a complete classification of group symmetries and obtain the Lagrangian for the equation. Our results include the classification of the Lie algebra and the optimal system, providing a thorough understanding of the equation’s underlying structure. These contributions serve to enhance the current body of knowledge on the Duffing-type equation and provide useful insights for future research in this area.eng
dc.identifier.doi10.1007/s12215-024-01038-y
dc.identifier.issn1973-4409
dc.identifier.urihttps://hdl.handle.net/10784/34853
dc.language.isoeng
dc.publisherSpringereng
dc.publisher.departmentUniversidad EAFIT. Escuela de Ciencias Aplicadas e Ingenieria. Matemáticasspa
dc.publisher.placeMedellínspa
dc.publisher.programGrupo de Investigación Matemáticas y Aplicacionesspa
dc.relation.ispartofRend. Circ. Mat. Palermo, II. Ser 73, 2709–2721 (2024)
dc.relation.isversionofhttps://link.springer.com/article/10.1007/s12215-024-01038-y
dc.relation.urihttps://link.springer.com/article/10.1007/s12215-024-01038-y
dc.rightsCopyright © 2024 Springer. All rights reserved.
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesseng
dc.rights.coarhttp://purl.org/coar/access_right/c_abf2
dc.rights.localAcceso abierto
dc.sourceRendiconti del Circolo Matematico di Palermo Series 2
dc.subject.keywordContinuous group of Lie symmetrieseng
dc.subject.keywordOptimal systemeng
dc.subject.keywordInvariant solutioneng
dc.subject.keywordLagrangianeng
dc.subject.keywordLie algebra representationeng
dc.titleLie algebra classification, conservation laws and invariant solutions for the kind generalization of the Duffing-type equation
dc.typeinfo:eu-repo/semantics/article
dc.type.coarversionhttp://purl.org/coar/resource_type/c_6501
dc.type.localArtículospa
dc.type.redcolhttp://purl.org/redcol/resource_type/ARTREF
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication

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