International Journal of Nonlinear Analysis and Applications

On the invariance properties of‎ Vaidya-Bonner geodesics via symmetry operators

Document Type : Research Paper

Authors

1 Department of Mathematics, Karaj Branch, Islamic Azad University, karaj, Iran.

2 Department of Mathematics, Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran

3 School of Mathematics, Iran University of Science and Technology Narmak, Tehran, 16846-13114, 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

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 563-571
  • Receive Date: 20 August 2020
  • Revise Date: 14 October 2020
  • Accept Date: 07 November 2020