The symmetries and conservation laws of some Gordon-type equations in Milne space-time |
| |
| Authors: | S JAMAL A H KARA A H BOKHARI F D ZAMAN |
| |
| Affiliation: | 1. School of Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits, 2050, South Africa
2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia
|
| |
| Abstract: | In this letter, the Lie point symmetries of a class of Gordon-type wave equations that arise in the Milne space-time are presented and analysed. Using the Lie point symmetries, it is showed how to reduce Gordon-type wave equations using the method of invariants, and to obtain exact solutions corresponding to some boundary values. The Noether point symmetries and conservation laws are obtained for the Klein–Gordon equation in one case. Finally, the existence of higherorder variational symmetries of a projection of the Klein–Gordon equation is investigated using the multiplier approach. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
