Generalized Killing Tensors and Symmetry of Klein-Gordon-Fock Equations
| dc.creator | Nikitin, Anatoly G. | |
| dc.creator | Prylypko, Oleksander I. | |
| dc.date | 2005-06-01 | |
| dc.date.accessioned | 2026-07-07T04:32:08Z | |
| dc.date.available | 2026-07-07T04:32:08Z | |
| dc.description | The paper studies non-Lie symmetry of the Klein-Gordon-Fock equation (KGF) in $(p+q)$-dimensional Minkowsky space. Full set of symmetry operators for the $n$-order KGF equation was explicitly calculated for arbitrary $n<\infty$ and $p+q \leq 4$. Definition was given for generalized Killing tensors of rank $j$ and order $s$, and for generalized conformal Killing tensors of rank $j$ and order $s$ as a complete set of linearly independent solutions of some overdetermined systems of PDE. These tensors were found in explicit form for arbitrary fixed $j$ and $s$ in Minkowsky space of dimension $p+q \leq 4$. The received results can be used in investigation of higher symmetries of a wide class of systems of partial differential equations. | |
| dc.description | The first version of the paper was published as a preprint in Russian: Preprint N 90.23, Kyiv, Institute of Mathematics, 1990, 59 p | |
| dc.identifier | https://arxiv.org/abs/math-ph/0506002 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0506002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58082 | |
| dc.subject | Mathematical Physics | |
| dc.title | Generalized Killing Tensors and Symmetry of Klein-Gordon-Fock Equations | |
| dc.type | text |