Classification of the Lie and Noether point symmetries for the Wave and the Klein–Gordon equations in pp-wave spacetimes
| Author | Paliathanasis A. |
| Author | Tsamparlis M. |
| Author | Mustafa M.T. |
| Available date | 2020-02-05T08:53:34Z |
| Publication Date | 2018 |
| Publication Name | Communications in Nonlinear Science and Numerical Simulation |
| Resource | Scopus |
| ISSN | 10075704 |
| Abstract | A complete classification of the Lie and Noether point symmetries for the Klein–Gordon and the wave equation in pp-wave spacetimes is obtained. The classification analysis is carried out by reducing the problem of the determination of the point symmetries to the problem of existence of conformal killing vectors on the pp-wave spacetimes. Employing the existing results for the isometry classes of the pp-wave spacetimes, the functional form of the potential is determined for which the Klein–Gordon equation admits point symmetries and Noetherian conservation law. Finally the Lie and Noether point symmetries of the wave equation are derived. |
| Sponsor | AP would like to thank Prof. P.G.L. Leach and the University of Cyprus for the hospitality while part of this work carried out. The research of AP was supported by FONDECYT postdoctoral grant no. 3160121. |
| Language | en |
| Publisher | Elsevier B.V. |
| Subject | Collineations Klein–Gordon equation Lie point symmetries pp-waves spacetimes |
| Type | Article |
| Pagination | 68-83 |
| Volume Number | 55 |
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