Solar Physics

, Volume 180, Issue 1–2, pp 65–79 | Cite as

Resonant Absorption of Nonlinear Slow MHD Waves in Isotropic Steady Plasmas - I. Theory

  • István Ballai
  • Róbert Erdélyi


This paper considers driven resonant nonlinear slow magnetohydrodynamic (MHD) waves in dissipative steady plasmas. A theory developed by Ruderman, Hollweg, and Goossens (1997) is used and extended to study the effect of steady flows on the nonlinear resonant behaviour of slow MHD waves in slow dissipative layers. The method of matched asymptotic expansions is used to describe the behaviour of the wave variables in the slow dissipative layer. The nonlinear analogue of the connection formulae for slow MHD waves obtained previously by Goossens, Hollweg, and Sakurai (1992) and Erdélyi (1997) in linear MHD, are derived. The effect of an equilibrium flow results partly in a Doppler shift of the available frequency for slow resonance and partly in the modification of the width of the dissipative layer.


Asymptotic Expansion Steady Flow Doppler Shift Resonant Absorption Wave Variable 


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Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • István Ballai
    • 1
  • Róbert Erdélyi
    • 2
  1. 1.Department of AstronomyEötvös L. UniversityBudapestHungary
  2. 2.School of Mathematical and Computational SciencesUniversity of St. AndrewsSt. AndrewsScotland, U.K

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