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Long nonlinear waves in a compressible magnetically structured atmosphere

II. Slow body waves in a magnetic slab

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Abstract

An approximate equation describing long nonlinear slow body wave propagation in a magnetic slab in magnetic environments is derived. It is shown that this equation has no solutions in the form of solitary waves. Second-harmonic generation by a sinusoidal wave is studied. Results of numerical computations are presented. They show that a sinusoidal disturbance overturns, i.e., infinite gradients arise. An approximate formula for the overturning time is derived. The application of these results to the problem of coronal heating is discussed.

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Authors and Affiliations

  1. Space Research Institute, Academy of Sciences of USSR, Profsojuznaja 84, 117485, Moscow, U.S.S.R.

    E. G. Merzljakov & M. S. Ruderman

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  1. E. G. Merzljakov
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  2. M. S. Ruderman
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Merzljakov, E.G., Ruderman, M.S. Long nonlinear waves in a compressible magnetically structured atmosphere. Sol Phys 103, 259–276 (1986). https://doi.org/10.1007/BF00147829

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  • DOI: https://doi.org/10.1007/BF00147829

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