dc.contributor | Bharathidasan University | |
dc.contributor | Instituto de Física Teórica | |
dc.date.accessioned | 2022-04-29T08:44:28Z | |
dc.date.accessioned | 2022-12-20T03:14:03Z | |
dc.date.available | 2022-04-29T08:44:28Z | |
dc.date.available | 2022-12-20T03:14:03Z | |
dc.date.created | 2022-04-29T08:44:28Z | |
dc.date.issued | 2012-06-01 | |
dc.identifier | Nonlinear Analysis: Real World Applications, v. 13, n. 3, p. 1102-1114, 2012. | |
dc.identifier | 1468-1218 | |
dc.identifier | http://hdl.handle.net/11449/231278 | |
dc.identifier | 10.1016/j.nonrwa.2011.08.030 | |
dc.identifier | 2-s2.0-84655163138 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/5411412 | |
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. | |
dc.language | eng | |
dc.relation | 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 | |
dc.type | Artículos de revistas | |