Modulational Instability of Radial Oscillations of Coronal Loops

The radial modes of the coronal loops are used to interpret the observed microwave and hard x-ray pulsations during flares. The properties of radial oscillations are well studied in the approximation of linear magnetohydrodynamics, and their further study requires a nonlinear approach. Obviously, th...

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Bibliographic Details
Published in:Geomagnetism and Aeronomy 2019-12, Vol.59 (8), p.1108-1113
Main Authors: Mikhalyaev, B. B., Mankaeva, G. A., Varun, E. Naga
Format: Article
Language:English
Subjects:
Approximation
Coronal loops
Earth and Environmental Science
Earth Sciences
Fluid dynamics
Geophysics/Geodesy
Magnetohydrodynamics
Mathematical analysis
Oscillations
Schrodinger equation
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Summary:The radial modes of the coronal loops are used to interpret the observed microwave and hard x-ray pulsations during flares. The properties of radial oscillations are well studied in the approximation of linear magnetohydrodynamics, and their further study requires a nonlinear approach. Obviously, the first step in this path is the weakly nonlinear approximation, which is used in this work. The study uses cylindrical geometry with the previously obtained nonlinear Schrödinger equation for the amplitude of radial oscillations. The conditions under which modulation instability of radial modes takes place, leading to the appearance of quasiperiodic oscillations, are studied.
ISSN:0016-7932
1555-645X
0016-7940
DOI:10.1134/S0016793219080139