On the classification of symmetry reductions for the (1+3)-dimensional Monge-Ampère equation

	Vasyl’Fedorchuk Department of Algebra, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the NAS of Ukraine		Volodymyr Fedorchuk Department of Algebra, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the NAS of Ukraine
April 28, 2021 at 16:00 online Join Zoom Meeting https://us04web.zoom.us/j/7398069872?pwd=dzV0TS9WcTIyMEZZYzlKVTdOWDZSUT09 Meeting ID: 739 806 9872 Passcode: AUpYx5

Abstract of talk

The classification of symmetry reductions for the Monge – Ampère equation in the space M(1,3) x R(u) is carried out. Some results obtained by using the classification of three-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4) are presented.

Here: M(1,3) is the (1+3) – dimensional Minkowski space; R(u) is the real number axis of the dependent variable u.