Solar Physics

, Volume 95, Issue 1, pp 51–68 | Cite as

Long nonlinear waves in a compressible magnetically structured atmosphere

I: Slow sausage waves in a magnetic slab
  • E. G. Merzljakov
  • M. S. Ruderman
Article

Abstract

The Benjamin-Ono equation is derived for long slow sausage waves propagating in a vertical magnetic slab embedded into a stratified atmosphere, provided that the slab thickness is much smaller than the scale height of the atmosphere. The soliton propagation in a nonstratified atmosphere is discussed. The approximate formulas describing the slow evolution of the amplitude and the length of a soliton propagating in a very weakly stratified atmosphere are obtained. The exact soliton-like solution for an atmosphere with a linearly growing temperature is found.

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Copyright information

© D. Reidel Publishing Company 1985

Authors and Affiliations

  • E. G. Merzljakov
    • 1
  • M. S. Ruderman
    • 2
  1. 1.Moscow State UniversityMoscowU.S.S.R.
  2. 2.Space Research Institute, Academy of Sciences of U.S.S.R.MoscowU.S.S.R.

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