| Full text | |
| Author(s): |
Mogorosi, Tshepo E.
;
Freire, Igor L.
;
Muatjetjeja, Ben
;
Khalique, Chaudry Masood
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Applied Mathematics and Computation; v. 292, p. 156-164, JAN 1 2017. |
| Web of Science Citations: | 4 |
| 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 non-linearities 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. (C) 2016 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 14/05024-8 - Symmetries and conservation laws for differential equations arising from physical and biological systems |
| Grantee: | Igor Leite Freire |
| Support Opportunities: | Regular Research Grants |