Skip to main content
    • Aa
    • Aa

Long, nonlinear, non-axisymmetric surface-wave propagation in a magnetic tube

  • M. S. Ruderman (a1)

The propagation of long, nonlinear, non-axisymmetric surface waves in a magnetic cylinder is considered. It is supposed that the electrical conductivity is infinite, the fluid is incompressible and there is no magnetic field outside the cylinder. The nonlinear integro-differential equation governing the wave propagation is derived using the reductive perturbation method. The interesting and important point is that this equation governs the evolution of all nonaxisymmetric modes simultaneously. This is because the phase velocities of all non-axisymmetric modes are equal to the kink speed in the linear, infinitely long-wavelength approximation, and as a result all non-axisymmetric modes interact strongly in the nonlinear case. Solutions of the governing equation in the form of periodic helical waves of permanent form are obtained numerically.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

R. J. Defouw 1976 Astrophys. J. 209, 266.

J. W. Dungey & R. E. Loughhead 1954 Austr. J. Phys. 7, 5.

P. M. Edwin & B. Roberts 1983 Solar Phys. 88, 179.

A. I. Ershkovich & A. A. Chernikov 1973 Planet. Space Sci. 21, 663.

E. G. Merzljakov & M. S. Ruderman 1985 Solar Phys. 95, 51.

E. G. Merzljakov & M. S. Ruderman 1986 aSolar Phys. 103, 259.

E. G. Merzljakov & M. S. Ruderman 1986 bSolar Phys. 105, 265.

A. L. Molotovshchikov & M. S. Ruderman 1987 Solar Phys. 109, 247.

E. R. Priest 1982 Solar Magnetohydrodynamics. Reidel.

B. Roberts 1985 Phys. Fluids 28, 3280.

B. Roberts , P. M. Edwin & A. O. Benz 1984 Astrophys. J. 279, 857.

B. Roberts & A. Mangeney 1982 Mon. Not. R. Astron. Soc. 198, 7P.

B. Roberts & A. R. Webb 1978 Solar Phys. 56, 5.

W. Shyouni , I. Zhelyazkov & P. Nenovski 1988 Solar Phys. 115, 17.

H. C. Spruit 1982 Solar Phys. 75, 3.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 3 *
Loading metrics...

Abstract views

Total abstract views: 36 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 22nd September 2017. This data will be updated every 24 hours.