MHD-MODEL OF QUASI-PERIODIC SOLAR CORONAL PULSATIONS
https://doi.org/10.37493/2307-910X.2020.4.13
Abstract
We study quasi-periodic pulsations observed in the solar corona by the microwave and hard X-ray emission. One of its interpretation is oscillations of flare coronal magnetic flux tubes. Its properties are studied well in the approximation of the linear magne-tohydrodynamics. Now we study the fast magnetoacoustic waves in the weakly-nonlinear approximation. Previously this study has been carried out in plane geometry, here we investigate weakly nonlinear waves in cylindrical geometry. A mathematical model of a non-linear evolution of the wave envelope is considered, it is based on the nonlinear Schrddinger equation. This model is used to study the modula-tional instability of fast magnetoacoustic waves and the generation of quasi-periodic oscillations of flare coronal loops.
About the Authors
B. B. Mikhalyaev
Kalmyk State University
Russian Federation
Russian Federation
G. A. Mankaeva
Kalmyk State University
Russian Federation
Russian Federation
L. N. Dzhimbeeva
Kalmyk State University
Russian Federation
Russian Federation
O. V. Hongorova
Ivanovo Fire-Rescue Academy
Russian Federation
Russian Federation
References
1. Aschwanden M. J. Physics of the Solar Corona. An Intoduction with Problems and Solutions. Springer-Verlag. Berlin, Heidelberg, New York. 2005.
2. Зайцев В. В., Степанов А. В., Накаряков В. М. Корональная сейсмология // Успехи физических наук. 2012. Т. 182. Вып. 9. С. 999-1005.
3. Зайцев В. В., Степанов А. В. О природе пульсаций IV типа солнечного радиоизлучения. Колебания плазменного цилиндра (I) // Исследования по геомагнетизму, аэрономии и физике Солнца. 1975. Вып. 37. С. 3-20.
4. Meerson В. I., Sasorov P. N., Stepanov А. V. Pulsations of type IV solar radio emission: The bounce-resonance effects // Solar Physics. 1978. V. 58. PP. 165-179.
5. Edwin P. M., Roberts B. Wave propagation in a magnetic cylinder // Solar Physics. 1983. V. 88. PP. 179-191.
6. Mikhalyaev В. В., Ruderman M. S. Nonlinear fast sausage waves in homogeneous magnetic flux tubes // Journal of Plasma Phys. 2015. V. 81,905810611.
7. Mikhalyaev В. В., Ruderman M. S., Naga Varun E. Nonlinear radial oscillations of coronal loops // Geomagnetism and Aeronomy. 2016. V. 56. PP. 1040-1044.
8. Уизем Дж. Линейные и нелинейные волны. -М.: Мир, 1977. -638 с.
9. Рыскин Н. М., Трубецков Д. И. Нелинейные волны. -М.: Физматлит, 2000. -272 с.
Review
For citations:
Mikhalyaev B.B., Mankaeva G.A., Dzhimbeeva L.N., Hongorova O.V. MHD-MODEL OF QUASI-PERIODIC SOLAR CORONAL PULSATIONS. Modern Science and Innovations. 2020;(4):90-94. (In Russ.) https://doi.org/10.37493/2307-910X.2020.4.13
Views:
47
Email this article 