SYMMETRY ANALYSIS OF A LANE-EMDEN-KLEIN-GORDON-FOCK SYSTEM WITH CENTRAL SYMMETRY

摘要

In this paper we introduce a sort of Lane-Emden system derived from the Klein-Gordon-Fock equation with central symmetry. Point symmetries are obtained and, since the system can be derived as the Euler-Lagrange equation of a certain functional, a Noether symmetry classification is also considered and conservation laws are derived from the point symmetries.