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.
| Original language | English |
|---|---|
| Pages (from-to) | 739-755 |
| Number of pages | 17 |
| Journal | Pramana - Journal of Physics |
| Volume | 80 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2013 |
Keywords
- Conservation laws
- Gordon-type equations
- Milne space-time
ASJC Scopus subject areas
- General Physics and Astronomy
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