Abstract
In this paper we discuss symmetries of a nonlinear wave equation that arises as a consequence of some Riemannian metrics of signature -2. The objective of this study is to show how geometry can be responsible in giving rise to a nonlinear inhomogeneous wave equation rather than assuming nonlinearities in the wave equation from physical considerations. We find Lie point symmetries of the corresponding wave equations and give their solutions in two cases. Some interesting physical conclusions relating to conservation laws such as energy, linear and angular momenta are also determined.
| Original language | English |
|---|---|
| Pages (from-to) | 1919-1928 |
| Number of pages | 10 |
| Journal | International Journal of Theoretical Physics |
| Volume | 48 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2009 |
Bibliographical note
Funding Information:Acknowledgements Two of the authors (A.H.B. and F.D.Z.) thank King Fahd University of Petroleum and Minerals project number FT080004 for support and funds provided to complete this work. A.H.K. thanks the NRF for support under programme FA2007041200006.
Keywords
- Conservation laws
- Symmetries
ASJC Scopus subject areas
- General Mathematics
- Physics and Astronomy (miscellaneous)