A H Bokhari
Articles written in Pramana – Journal of Physics
Volume 80 Issue 5 May 2013 pp 739-755
The symmetries and conservation laws of some Gordon-type equations in Milne space-time
S Jamal A H Kara A H Bokhari F D Zaman
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 higher-order variational symmetries of a projection of the Klein–Gordon equation is investigated using the multiplier approach.
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