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On partial preliminary group classification of some class of (1+3)-dimensional Monge-Ampere equations. II. Two-dimensional Lie algebras. | Proceedings of the International Geometry Center

Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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On partial preliminary group classification of some class of (1+3)-dimensional Monge-Ampere equations. II. Two-dimensional Lie algebras.

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Vasyl Fedorchuk
Volodymyr Fedorchuk
https://orcid.org/0000-0002-5248-7776

Abstract

We have performed the partial preliminary group classification of some class of (1+3)-dimensional Monge-Ampère equations using non-equivalent functional bases of the first-order differential invariants of two-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4).

Keywords:
preliminary group classification, Monge-Ampere equation, non-equivalent functional bases, differential invariants, nonconjugate subalgebras, Lie algebra, Poincare group P(1,4)

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How to Cite
Fedorchuk, V., & Fedorchuk, V. (2026). On partial preliminary group classification of some class of (1+3)-dimensional Monge-Ampere equations. II. Two-dimensional Lie algebras. Proceedings of the International Geometry Center, 19(1), paper 2, 13 pages. https://doi.org/10.15673/pigc.v19i1.2740
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Papers
Author Biographies

Vasyl Fedorchuk, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine

Department of Algebra, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 79060, 3-b Naukova St., Lviv, Ukraine

Volodymyr Fedorchuk, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine

Department of Algebra, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine, 79060, 3-b Naukova St., Lviv, Ukraine