Title of article :
On the invariance properties of Vaidya-Bonner geodesics via symmetry operators
Author/Authors :
Farrokhi, Davood Department of Mathematics - Islamic Azad University Karaj Branch, karaj, Iran , Bakhshandeh Chamazkoti, Rohollah Department of Mathematics - Faculty of Basic Sciences - Babol Noshirvani University of Technology, Babol, Iran , Nadjafikhah, Mehdi School of Mathematics - Iran University of Science and Technology Narmak, Tehran, Iran
Abstract :
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.
Keywords :
determining equations , Lie point symmetry , Noether's theorem , optimal system , prolongation
Journal title :
International Journal of Nonlinear Analysis and Applications
