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
Pages
9
From page
563
To page
571
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
Serial Year
2022
Record number
2711254
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