Document Type : Research Paper
Department of Mathematics, Karaj Branch, Islamic Azad University, karaj, Iran.
Department of Mathematics, Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran
School of Mathematics, Iran University of Science and Technology Narmak, Tehran, 16846-13114, Iran
In the present paper, we try to investigate the Noether symmetries and Lie point symmetries of the
Vaidya-Bonner geodesics. Classification of one--dimensional subalgebras of Lie
point symmetries are considered. In fact, the collection of pairwise non-conjugate one--dimensional
subalgebras that is called the optimal system of subalgebras is determined. Moreover, as illustrative
examples, the symmetry analysis is implemented on two special cases of the system.