dc.contributor.author Bhuvaneswari, A. dc.contributor.author Kraenkel, R. A. dc.contributor.author Senthilvelan, M. dc.date.accessioned 2022-04-29T08:44:28Z dc.date.available 2022-04-29T08:44:28Z dc.date.issued 2012-06-01 dc.identifier http://dx.doi.org/10.1016/j.nonrwa.2011.08.030 dc.identifier.citation Nonlinear Analysis: Real World Applications, v. 13, n. 3, p. 1102-1114, 2012. dc.identifier.issn 1468-1218 dc.identifier.uri http://hdl.handle.net/11449/231278 dc.description.abstract In 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.format.extent 1102-1114 dc.language.iso eng dc.relation.ispartof Nonlinear Analysis: Real World Applications dc.source Scopus dc.subject λ-symmetries dc.subject Integrability dc.subject Lie symmetries dc.title Application of the λ-symmetries approach and time independent integral of the modified Emden equation en dc.type Artigo dc.contributor.institution Bharathidasan University dc.contributor.institution Instituto de Física Teórica dc.description.affiliation Centre for Nonlinear Dynamics Bharathidasan University, Tiruchirappalli 620024, Tamil Nadu dc.description.affiliation Instituto de Física Teórica, Rua Dr.Bento Teobaldo Ferraz 271, 01140-070, São Paulo dc.identifier.doi 10.1016/j.nonrwa.2011.08.030 dc.identifier.scopus 2-s2.0-84655163138

## Files in this item

FilesSizeFormatView

There are no files associated with this item.