Application of the λ-symmetries approach and time independent integral of the modified Emden equation

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorBharathidasan University-
Autor(es): dc.contributorInstituto de Física Teórica-
Autor(es): dc.creatorBhuvaneswari, A.-
Autor(es): dc.creatorKraenkel, R. A.-
Autor(es): dc.creatorSenthilvelan, M.-
Data de aceite: dc.date.accessioned2025-08-21T16:37:06Z-
Data de disponibilização: dc.date.available2025-08-21T16:37:06Z-
Data de envio: dc.date.issued2022-04-29-
Data de envio: dc.date.issued2022-04-29-
Data de envio: dc.date.issued2012-06-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1016/j.nonrwa.2011.08.030-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/231278-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/231278-
Descrição: dc.descriptionIn this paper we derive the time-independent integral for a nonlinear dissipative system, namely the modified Emden equation, from Lie point symmetries. We employ the recently introduced λ-symmetries method [C. Muriel, J.L. Romero, First integrals, integrating factors and λ-symmetries of second-order differential equations, J. Phys. A: Math. Theor. 42 (2009) 365207365217] to complete this task. To begin with we recall Lie point symmetries of this system and derive λ-symmetries from the vector fields. The knowledge of λ-symmetries enables us to obtain integrating factors, integrals and the general solution for the linearizable case. While determining the integrating factor from the λ-symmetry for the integrable case we find that this case splits up into three sub-cases. We then obtain the integrating factor and integral for these three sub-cases. The results agree with the ones reported in the literature and thereby give a group theoretical interpretation for the nonstandard time independent integrals exhibited by the system. © 2011 Elsevier Ltd. All rights reserved.-
Descrição: dc.descriptionCentre for Nonlinear Dynamics Bharathidasan University, Tiruchirappalli 620024, Tamil Nadu-
Descrição: dc.descriptionInstituto de Física Teórica, Rua Dr.Bento Teobaldo Ferraz 271, 01140-070, São Paulo-
Formato: dc.format1102-1114-
Idioma: dc.languageen-
Relação: dc.relationNonlinear Analysis: Real World Applications-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectλ-symmetries-
Palavras-chave: dc.subjectIntegrability-
Palavras-chave: dc.subjectLie symmetries-
Título: dc.titleApplication of the λ-symmetries approach and time independent integral of the modified Emden equation-
Tipo de arquivo: dc.typelivro digital-
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