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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 196, Number 1, Pages 135–160
DOI: https://doi.org/10.4213/tmf9520 (Mi tmf9520) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Gausian packets and beams with focal points in vector problems of plasma physics

A. Yu. Anikinab, S. Yu. Dobrokhotovba, A. I. Klevinba, B. Tirozzic

a Ishlinsky Institute for Problems in Mechanics, RAS, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow Oblast, Russia
c Department of Physics, La Sapienza University, Rome, Italy
Full-text PDF (861 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9520
Abstract: We consider a linearized equation describing plasma motion in a toroidal domain (tokamak) and study the asymptotic forms of steady-state solutions of the Gaussian beam type with a short wave length, which correspond to electric modes. We also study Gaussian wave packets and localized “cigar”-type beams describing the transmission of localized perturbations through the tokamak chamber. We separately consider the case of focal points on a trajectory and the asymptotic forms in a neighborhood of a focal point.
Keywords: linearized plasma equation, tokamak, Maslov complex germ, Gaussian beam.
Funding agency Grant number
Russian Science Foundation 16-11-10282
This research is supported by a grant from the Russian Science Foundation (Project No. 16-11-10282).
Received: 13.12.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 196, Issue 1, Pages 1059–1081
DOI: https://doi.org/10.1134/S0040577918070115
Bibliographic databases:
PACS: 02.30.Mv
MSC: 35Q60
Language: Russian
Citation: A. Yu. Anikin, S. Yu. Dobrokhotov, A. I. Klevin, B. Tirozzi, “Gausian packets and beams with focal points in vector problems of plasma physics”, TMF, 196:1 (2018), 135–160; Theoret. and Math. Phys., 196:1 (2018), 1059–1081
Citation in format AMSBIB
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\paper Gausian packets and beams with focal points in vector problems of plasma physics
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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