  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 are
called the optimal system of subalgebras is determined. Moreover, as
illustrative examples, the symmetry analysis is implemented on two special
cases of the system.
