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dc.contributor.authorBhuvaneswari, A.
dc.contributor.authorKraenkel, R. A.
dc.contributor.authorSenthilvelan, M.
dc.identifier.citationNonlinear Analysis: Real World Applications, v. 13, n. 3, p. 1102-1114, 2012.
dc.description.abstractIn 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.en
dc.relation.ispartofNonlinear Analysis: Real World Applications
dc.subjectLie symmetries
dc.titleApplication of the λ-symmetries approach and time independent integral of the modified Emden equationen
dc.contributor.institutionBharathidasan University
dc.contributor.institutionInstituto de Física Teórica
dc.description.affiliationCentre for Nonlinear Dynamics Bharathidasan University, Tiruchirappalli 620024, Tamil Nadu
dc.description.affiliationInstituto de Física Teórica, Rua Dr.Bento Teobaldo Ferraz 271, 01140-070, São Paulo
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