Systems of Lane-Emden equations arise in the modelling of several physical phenomena, such as pattern formation, population evolution and chemical reactions. In this paper we construct Noether and partial Noether operators corresponding to a Lagrangian and a partial Lagrangian for a coupled Lane-Emden system. Then the first integrals with respect to Noether and partial Noether operators are obt...

In this paper, we will trace the development of use symmetry in discussing theory motion initiated by Emmy Noether 1918. Though it started with its classical mechanics, and has been heavily used engineering applications came into own relativity, quantum their particle physics field theory. It be beyond scope article to explain any detail, but base for understanding provided here. We also go on ...

We consider extensions of General Relativity based on the non-local function f(R,??1R), where R is Ricci curvature scalar and non-locality due to term ??1R. focus cosmological minisuperspaces select viable models by Noether Symmetry Approach. Then we find exact solutions pointing out role in cosmology.

This paper uses the Noether symmetry approach to examine viable and stable traversable wormhole solutions in framework of f(R,T2) theory, where R is Ricci scalar T2=T??T?? self-contraction stress–energy tensor. For this purpose, we consider a specific model modified theory obtain exact equations. Further, formulate generators first integrals motion. We analyze presence corresponding different r...