Group Classification of a Generalized Coupled Hyperbolic Lane–Emden System
- 53 Downloads
The aim of this work is to carry out a complete group classification of a generalized coupled hyperbolic Lane–Emden system. It is shown that the underling system admits six-dimensional equivalence Lie algebra. We further show that the principle Lie algebra which is one-dimensional extends in several cases. We also carry out Lie reductions for some cases.
KeywordsGroup classification Generalized hyperbolic Lane–Emden system Lie point symmetries Symmetry reductions
Mathematics Subject Classification35J05 35G51
T. E. Mogorosi thanks SANHARP for financial support. B. Muatjetjeja thanks the Faculty Research Committee (FAST), North-West University, Mafikeng Campus, South Africa, for its support.
- Bozhkov Y, Mitidieri E (2007) Lie symmetries and criticality of semilinear differential systems, SIGMA, 3, paper 053Google Scholar