Lagrangian approach to a generalized coupled Lane-Emden system: Symmetries and first integrals

摘要

This paper aims to classify a generalized coupled Lane-Emden system and to compute the Noether operators corresponding to a Lagrangian for a generalized coupled Lane-Emden system which occurs in the modelling of several physical phenomena such as pattern formation, population evolution and chemical reactions. In addition the first integrals for the Lane-Emden system are constructed with respect to Noether operators.