Astrophysics and Space Science

, Volume 158, Issue 1, pp 67–88 | Cite as

Nonlinear stability of an infinite cylinder in the presence of a uniform axial magnetic field

  • R. K. Chhabra
  • S. K. Trehan


The effect of a uniform axial magenetic field on the nonlinear instability of a self-gravitating infinite cylinder is examined. Using the method of multiple scales, it is found that while the nonlinear (modulational) instability cannot be completely suppressed, the presence of a magnetic field does increase the range of stable wave numbers. The evolution of the amplitude is governed by a non-linear Schrödinger equation which gives the criterion for modulational instability.


Magnetic Field Multiple Scale Modulational Instability Nonlinear Stability Axial Magnetic Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Chandrasekhar, S.: 1961,Hydrodynamic and Hydromagnetic Stability, Oxford, pp. 531–537.Google Scholar
  2. Chandrasekhar, S. and Fermi, E.: 1953,Astrophys. J. 118, 116.Google Scholar
  3. Kakutani, T., Inoue, U., and Kann, T.: 1974,J. Phys. Soc. Japan,37, 429.Google Scholar
  4. Karpman, V. I.: 1975,Non-Linear Waves in Dispersive Media, Pergamon Press, London.Google Scholar
  5. Lardner, R. W. and Trehan, S. K.: 1983,Astrophys. Space Sci. 96, 261.Google Scholar
  6. Lighthill, M. J.: 1965,J. Inst. Math. Appl. 1, 269.Google Scholar
  7. Malik, S. K. and Singh, M.: 1980,Astrophys. J. 238, 326.Google Scholar
  8. Whitham, G. B.: 1974,Linear and Non-Linear Waves, Wiley and Sons, New York.Google Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • R. K. Chhabra
    • 1
  • S. K. Trehan
    • 1
  1. 1.Panjab UniversityChandigarhIndia

Personalised recommendations