Classification of Symmetry Reductions for the Eikonal Equation

	Vasyl’Fedorchuk Institute of Mathematics, Pedagogical University of Kraków, Poland; 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
November 6, 2018 at 15:05 in Lecture Room 377

Abstract of talk

In the talk we present the results concerning the relationship between the structural properties of low-dimensional (dim L ≤ 3) nonconjugate subalgebras of the Lie algebra of the Poincare group P(1,4) and the properties of the reduced equations for the eikonal equation. To obtain those results, we have performed the classification of the invariants as well as of the ansatzes for the above mentioned subalgebras. We also present some classes of invariant solutions for the eikonal equation.

Vasyl’ Fedorchuk
Volodymyr Fedorchuk
November 6, 2018