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.