On reduction of the (1+3)-dimensional inhomogeneous Monge-Ampère equation to the first-order partial differential equations
UDC 512.813:517.957.6 We study a connection between the structural properties of two-dimensional nonconjugate subalgebras of the Lie algebra of the generalized Poincaré group P(1,4) and the results of symmetry reduction for the (1+3)-dimensional inhomogeneous Monge-Ampère equation. Some results conc...
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| Datum: | 2022 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2022
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6996 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 512.813:517.957.6
We study a connection between the structural properties of two-dimensional nonconjugate subalgebras of the Lie algebra of the generalized Poincaré group P(1,4) and the results of symmetry reduction for the (1+3)-dimensional inhomogeneous Monge-Ampère equation. Some results concerning of the reduction of the equation under investigation to the first-order PDEs are presented. |
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| DOI: | 10.37863/umzh.v74i3.6996 |