On Noether Symmetries and Conservation Laws
Mugbil, Ahmad Mahdi
Noether symmetries provide conservation laws that are admitted by Lagrangians representingphysical systems. For differential equations possessing Lagrangians these symmetries are obtained by the invariance of the corresponding action integral. This work introduces briefly the basic theory of Lie groups, Lie algebra and Lie point symmetry of DEs. Also it provides the basic concepts, definitions and theorems required to find Noether symmetries a...