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

Vista sencilla de ítem
dc.citation.epage2721
dc.citation.journalTitleRendiconti del Circolo Matematico di Palermo Series 2eng
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.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.localAcceso abiertospa
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 equationeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.type.hasVersionpublishedVersioneng
dc.type.localArtículospa

Archivos

Bloque original
Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
s12215-024-01038-y.pdf
Tamaño:
304.01 KB
Formato:
Adobe Portable Document Format
Descripción:
Texto completo
Descargar

Colecciones

Artículos