Functionally Invariant Solutions to Maxwell’s System: Dependence on Time


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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).

About the authors

M. V. Neshchadim

Sobolev Institute of Mathematics; Novosibirsk State University

Author for correspondence.
Email: neshch@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090

A. A. Simonov

Novosibirsk State University

Author for correspondence.
Email: andrey.simonoff@gmail.com
Russian Federation, ul. Pirogova 1, Novosibirsk, 630090

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