Solar Physics

, Volume 109, Issue 2, pp 247–263 | Cite as

Long nonlinear waves in a compressible magnetically structured atmosphere

IV. Slow sausage waves in a magnetic tube
  • A. L. Molotovshchikov
  • M. S. Ruderman
Article

Abstract

The propagation of nonlinear slow sausage small-amplitude waves in a magnetic slab in a magnetic environment is considered. The equation for surface waves that is allied form of the Benjamin-Ono equation and the equation for body waves that is allied form of the equation for body waves in the slab are derived with the use of the method of stretching variables. The solutions of the equation for surface waves in the form of solitary waves are obtained numerically.

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References

  1. Abramowitz, M. and Stegun, A. (eds.): 1964, Handbook of Mathematical Functions, National Bureau of Standards.Google Scholar
  2. Defouw, R. J.: 1976, Astrophys. J. 209, 266.Google Scholar
  3. Edwin, P. M. and Roberts, B.: 1983, Solar Phys. 88, 179.Google Scholar
  4. Edwin, P. M. and Roberts, B.: 1986, Wave Motion 8, 151.Google Scholar
  5. Ershkovich, A. I., Nusinov, A. A., and Chernikov, A. A.: 1972, Planetary Space Sci. 20, 1235.Google Scholar
  6. Gradstein, I. S. and Ry zik, I. M.: 1962, Tablicy integralov, summ, rjadov i proizvedenii, Fizmatgiz, Moscow.Google Scholar
  7. Leibovich, S.: 1970, J. Fluid Mech. 42, 803.Google Scholar
  8. Leibovich, S. and Randall, J. D.: 1972, J. Fluid Mech. 51, 625.Google Scholar
  9. McKenzie, J. F.: 1970, J. Geophys. Res. 75, 5331.Google Scholar
  10. Merzljakov, E. G. and Ruderman, M. S.: 1985, Solar Phys. 95, 51.Google Scholar
  11. Merzljakov, E. G. and Ruderman, M. S.: 1986, Solar Phys. 103, 259.Google Scholar
  12. Petviashvili, V. I.: 1976, Fizika Plasmy 2, 467.Google Scholar
  13. Pritchard, W. G.: 1970, J. Fluid Mech. 42, 61.Google Scholar
  14. Rae, I. C. and Roberts, B.: 1982, Astrophys. J. 256, 761.Google Scholar
  15. Rjutov, D. D. and Rjutova, M. P.: 1976, Zh. Eksperim. Teor. Fiz. 70, 943.Google Scholar
  16. Roberts, B.: 1980, Ann. Phys. 5, 453.Google Scholar
  17. Roberts, B.: 1983, Solar Phys. 87, 77.Google Scholar
  18. Roberts, B.: 1984, in J. Kaczer (ed.), Proc. 6th Gen. Conf. of European Phys. Soc. ‘Trends in Physics’, Prague, p. 177.Google Scholar
  19. Roberts, B.: 1985, Phys. Fluids 28, 3280.Google Scholar
  20. Roberts, B. and Webb, A. R.: 1979, Solar Phys. 64, 77.Google Scholar
  21. Roberts, B. and Mangeney, A.: 1982, Monthly Notices Roy. Astron. Soc. 198, 7P.Google Scholar
  22. Roberts, B., Edwin, P. M., and Benz, A. O.: 1984, Astrophys. J. 279, 857.Google Scholar
  23. Spruit, H. C: 1981, Astron. Astrophys. 98, 155.Google Scholar
  24. Spruit, H. C.: 1982, Solar Phys. 75, 3.Google Scholar
  25. Spruit, H. C. and Roberts, B.: 1983, Nature 304, 401.Google Scholar
  26. Webb, A. R. and Roberts, B.: 1980a, Solar Phys. 68, 71.Google Scholar
  27. Webb, A. R. and Roberts, B.: 1980b, Solar Phys. 68, 87.Google Scholar
  28. Wentzel, D. G.: 1979, Astron. Astrophys. 76, 20.Google Scholar
  29. Wilson, P. R.: 1979, Astron. Astrophys. 71, 9.Google Scholar
  30. Wilson, P. R.: 1980, Astron. Astrophys. 87, 121.Google Scholar

Copyright information

© D. Reidel Publishing Company 1987

Authors and Affiliations

  • A. L. Molotovshchikov
    • 1
  • M. S. Ruderman
    • 1
  1. 1.Space Research Institute, Academy of Sciences of USSRMoscowU.S.S.R.

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