On reduction of the (1+3)-dimensional inhomogeneous Monge-Ampère equation to the first-order partial differential equations

  • V. M. Fedorchuk Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine
  • V. I. Fedorchuk Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Lviv
Keywords: classification of symmetry reductions, inhomogeneous Monge-Ampère equation, classification of the Lie algebras, nonconjugate subalgebras of the Lie algebras, the Poincaré group P(1,4)

Abstract

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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Published
26.04.2022
How to Cite
Fedorchuk, V. M., and V. I. Fedorchuk. “On Reduction of the (1+3)-Dimensional Inhomogeneous Monge-Ampère Equation to the First-Order Partial Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, no. 3, Apr. 2022, pp. 418-26, doi:10.37863/umzh.v74i3.6996.
Section
Research articles