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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 1, Pages 112–117
DOI: https://doi.org/10.4213/tmf5968 (Mi tmf5968) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Developing the eikonal method in nonlinear electrodynamics based on the geometrization principle

I. V. Krivchenkov

Moscow State Aviation Technological University
Full-text PDF (281 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf5968
Abstract: We derive the eikonal equation for an electromagnetic wave propagating in an external electromagnetic field according to the laws of nonlinear electrodynamics. Based on Logunov's geometrization principle, we determine the metric tensors of the effective Riemannian spaces for the Born–Infeld electrodynamics, nonlinear Heisenberg–Euler electrodynamics, and a parameterized post-Maxwellian electrodynamics. We analyze the main properties of these nonlinear electrodynamics.
Keywords: geometrization principle, nonlinear electrodynamics, eikonal equation.
Received: 14.04.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 1, Pages 97–101
DOI: https://doi.org/10.1007/s11232-007-0007-2
Bibliographic databases:
Language: Russian
Citation: I. V. Krivchenkov, “Developing the eikonal method in nonlinear electrodynamics based on the geometrization principle”, TMF, 150:1 (2007), 112–117; Theoret. and Math. Phys., 150:1 (2007), 97–101
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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