M. V. Neshchadim, A. A. Simonov, “Functional invariant solutions to Maxwell's system: dependence on time”, Sib. Zh. Ind. Mat., 2019, Volume 22, Number 2,Pages <nobr>49

This article is cited in 1 paper

Functional invariant solutions to Maxwell's system: dependence on time

M. V. Neshchadim^ab, A. A. Simonov^b

^a Sobolev Institute of Mathematics SB RAS, pr. Akad. Koptyuga 4, 630090 Novosibirsk
^b Novosibirsk State University, ul. Pirogova 1, 630090 Novosibirsk

Abstract: We consider the problem of finding the generalized functionally invariant solutions to Maxwell's equations. The solutions found contain some functional arbitrariness that can be used for determining the parameters of Maxwell's system (the dielectric and magnetic constants).

Keywords: Maxwell's system, generalized functionally invariant solution.

UDC: 517.95

Received: 11.09.2018
Revised: 30.10.2018
Accepted: 27.12.2018

DOI: 10.33048/sibjim.2019.22.205