Group Classification of a Generalized Coupled Hyperbolic Lane-Emden System

摘要

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.