Skip to main content
Log in

Propagation of nonlinear Alfvén surface waves along a tangential magnetohydrodynamic discontinuity in an incompressible fluid

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The paper considers the propagation of low-amplitude nonlinear waves over a surface of magnetic discontinuity. An equation for these waves is derived. The evolution of a sinusoidal perturbation is investigated. The discontinuity formation time is numerically determined.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. B. Roberts, “Wave propagation in a magnetically structured atmosphere. I. Surface waves at a magnetic interface,” Sol. Phys.,69, 27 (1981).

    Google Scholar 

  2. B. Roberts, “Wave propagation in a magnetically structured atmosphere. II. Waves in a magnetic slab,” Sol. Phys.,69, 39 (1981).

    Google Scholar 

  3. P. M. Edwin and B. Roberts, “Wave propagation in a magnetically structured atmosphere. III. The slab in a magnetic environment,” Sol. Phys.,76, 239 (1982).

    Google Scholar 

  4. H. C. Spruit, “Propagation speeds and acoustic damping of waves in magnetic flux tubes,” Sol. Phys.,75, 3 (1982).

    Google Scholar 

  5. I. C. Rae and B. Roberts, “Pulse propagation in a magnetic flux tube,” Astrophys. J.,256, 761 (1982).

    Google Scholar 

  6. I. C. Rae and B. Roberts, “Wave diagrams for I.fflD modes in a magnetically structured atmosphere,” Sol. Phys.,84, 99 (1983).

    Google Scholar 

  7. E. N. Parker, “The nature of the sunspot phenomenon. II. Internal overstable modes,” Sol. Phys.,37, 127 (1974).

    Google Scholar 

  8. B. E. Gordon and J. V. Hollweg, “Collisional damping of surface waves in the solar corona,” Astrophys. J.,266, 373 (1933).

    Google Scholar 

  9. B. Roberts and A. Mangeney, “Solitons in solar magnetic flux tubes,” Mon. Not. R. Astron. Soc.,198, 7P (1982).

  10. H. Ono, “Algebraic solitary waves in stratified fluids,” J. Phys. Soc. Jpn.,39, 1082 (1975).

    Google Scholar 

  11. O. V. Rudenko and S. I. Soluyan, Theoretical Principles of Nonlinear Acoustics [in Russian], Nauka, Moscow (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 98–105, January–February, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ruderman, M.S. Propagation of nonlinear Alfvén surface waves along a tangential magnetohydrodynamic discontinuity in an incompressible fluid. Fluid Dyn 20, 85–92 (1985). https://doi.org/10.1007/BF01097367

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01097367

Keywords

Navigation