Nonlinear radial oscillations of coronal loops


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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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