On the invariance properties of Vaidya-Bonner geodesics via symmetry operators | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 43، دوره 13، شماره 1، خرداد 2022، صفحه 563-571 اصل مقاله (369.81 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.21159.2238 | ||
| نویسندگان | ||
| Davood Farrokhi1؛ Rohollah Bakhshandeh Chamazkoti* 2؛ Mehdi Nadjafikhah3 | ||
| 1Department of Mathematics, Karaj Branch, Islamic Azad University, karaj, Iran. | ||
| 2Department of Mathematics, Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran | ||
| 3School of Mathematics, Iran University of Science and Technology Narmak, Tehran, 16846-13114, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| determining equations؛ Lie point symmetry؛ Noether's theorem؛ optimal system؛ prolongation | ||
| مراجع | ||
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