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Nonlinear Waves in Force-Free Fibrils

Published online by Cambridge University Press:  12 April 2016

Y.D. Zhugzhda  and
V.M. Nakariakov
Y.D. Zhugzhda
Affiliation:
Kiepenheuer-Institut für Sonnenphysik, Schöneckstr 6, D–79104 Freiburg, Germany E-mail: [email protected]
V.M. Nakariakov
Affiliation:
School of Mathematical and Computational Sciences, University of St. Andrews, St. Andrews, Fife KY16 9SS, Scotland

Abstract

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Korteweg-de Vries equations for slow body and torsional weakly nonlinear Alfvén waves in twisted magnetic flux tubes are derived. Slow body solitons appear as a narrowing of the tube in a low β plasma and widening of the tube, when β ≫ 1. Alfvén torsional solitons appear as a widening (β > 1) and narrowing (β < 1) of the tube, where there is a local increase of tube twisting. Two scenarios of nonlinear dissipation of strongly nonlinear waves in twisted flux tubes are proposed.

Type
Filaments and Their Environment
Information
International Astronomical Union Colloquium , Volume 167: New Perspectives on Solar Prominences , 1998 , pp. 151 - 154
Copyright
Copyright © Astronomical Society of the Pacific 1998

References

Roberts, B. 1991, in Advances in Solar Magnetohydrodynamics, (eds.) Priest, E.R. and Hood, A.W., Cambridge University Press, Cambridge, p. 105 Google Scholar
Zhugzhda, Y.D. 1996, Phys. Plasmas, 3, 10 Google Scholar
Zhugzhda, Y.D. and Nakariakov, V.M. 1997a, Phys. Lett. A, in pressGoogle Scholar
Zhugzhda, Y.D. and Nakariakov, V.M. 1997b, Solar Phys., 175, 107 Google Scholar