Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations

DOI10.1063/1.4950786zbMath1345.78004arXiv1410.4873OpenAlexW3102829673MaRDI QIDQ2814195

Sergii M. Torba, Vladislav V. Kravchenko, Kira V. Khmelnytskaya

Publication date: 20 June 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4873

zbMATH Keywords

Maxwell equationsVekua equationbicomplex-valued functions of a hyperbolic variable

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Maxwell equations (35Q61)

Related Items (4)

Standard transmutation operators for the one dimensional Schrödinger operator with a locally integrable potential ⋮ Bicomplex modules with indefinite inner product ⋮ Time-dependent one-dimensional electromagnetic wave propagation in inhomogeneous media: exact solution in terms of transmutations and Neumann series of Bessel functions ⋮ Some Recent Developments in the Transmutation Operator Approach

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• On the Klein–Gordon equation and hyperbolic pseudoanalytic function theory

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