Nonlinear radial oscillations of coronal loops
- Authors: Mikhalyaev B.B.1, Ruderman M.S.2,3, Naga Varun E.1
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Affiliations:
- Kalmyk Gorodovikov State University
- University of Sheffield
- Space Research Institute
- Issue: Vol 56, No 8 (2016)
- Pages: 1040-1044
- Section: Article
- URL: https://journals.rcsi.science/0016-7932/article/view/156008
- DOI: https://doi.org/10.1134/S0016793216080168
- ID: 156008
Cite item
Abstract
The behavior of radial oscillations of coronal magnetic tubes is considered in a weakly nonlinear approximation. The nonlinear Schrödinger equation, the coefficients of which are found from the tube and radial mode parameters, has been obtained for the oscillation amplitude. The coefficients have been calculated for the fundamental radial mode, which is characterized by the absence of the cutoff in the region of low frequencies. It has been shown that the modulation instability condition is satisfied in a wide range of mode parameter values, which indicates that large-amplitude radial oscillations can exist in coronal loops.
About the authors
B. B. Mikhalyaev
Kalmyk Gorodovikov State University
Author for correspondence.
Email: bbmikh@mail.ru
Russian Federation, Elista
M. S. Ruderman
University of Sheffield; Space Research Institute
Email: bbmikh@mail.ru
United Kingdom, Sheffield; Moscow, 117997
E. Naga Varun
Kalmyk Gorodovikov State University
Email: bbmikh@mail.ru
Russian Federation, Elista
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