Group analysis of a hyperbolic Lane-Emden system
| dc.contributor.author | Mogorosi, Tshepo E. | |
| dc.contributor.author | Freire, Igor L. | |
| dc.contributor.author | Muatjetjeja, Ben | |
| dc.contributor.author | Khalique, Chaudry Masood | |
| dc.contributor.researchID | 20559860 - Khalique, Chaudry Masood | |
| dc.contributor.researchID | 21408114 - Mogorosi, Tshepo Edward | |
| dc.contributor.researchID | 16553926 - Muatjetjeja, Ben | |
| dc.date.accessioned | 2018-07-27T08:08:35Z | |
| dc.date.available | 2018-07-27T08:08:35Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | In this paper we carry out a complete Noether and Lie group classification of the radial form of a coupled system of hyperbolic equations. From the Noether symmetries we establish the corresponding conserved vectors. We also determine constraints that the nonlinearities should satisfy in order for the scaling symmetries to be Noetherian. This led us to a critical hyperbola for the systems under consideration. An explicit solution is also obtained for a particular choice of the parameters. | |
| dc.identifier.citation | Mogorosi, T.E. et al. 2017. Group analysis of a hyperbolic Lane-Emden system. Applied Mathematics and Computation, 292:156-164. [https://doi.org/10.1016/j.amc.2016.07.033] | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 (Online) | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2016.07.033 | |
| dc.identifier.uri | http://hdl.handle.net/10394/30308 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject | Lie symmetries | |
| dc.subject | Noether symmetries | |
| dc.subject | Conservation laws | |
| dc.subject | Hyperbolic Lane-Emdem system | |
| dc.subject | Exact solutions | |
| dc.title | Group analysis of a hyperbolic Lane-Emden system | |
| dc.type | Article |