Solitary Wave Propagation from the Photosphere into the Solar Corona

Computer Science

Scientific paper

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Nonlinear Waves, Solitary Waves, Magnetic Flux Tube, Spicule

Scientific paper

In the present paper we study the excitation and time dependent dynamic evolution of vertically propagating weakly nonlinear (i.e. solitary) waves on vertically open cylindrical magnetic flux tubes in a stratified plasma. The axisymmetric flux tubes have a typical field strength of 1500 G at their photospheric roots, reducing to 20-30 G in the corona. Solitons are excited by a footpoint driver. The propagation of the solitary signal is investigated by solving numerically a set of fully nonlinear 2.5D MHD equations. We compare our results with the analytical solutions of Molotovshchikov &Ruderman (1987) obtained by using the method of multi-scale expansion. The model could be applied to spicule formation in the chromosphere, as suggested by Roberts &Mangeney (1982), where it was demonstrated theoretically, that a solar photospheric magnetic flux tube can support the propagation of two types of soliton, governed either by the Benjamin-Ono (slow mode) or by the Korteweg-de Vries (fast mode) equations. Future possible improvements in modelling and the relevance of the photospheric chromospheric transition region coupling by spicules is suggested.

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