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Weakly relativistic effect on the modulation of nonlinear ion-acoustic waves in a warm plasma

  • S. K. El-Labany (a1)
  • DOI: http://dx.doi.org/10.1017/S0022377800018523
  • Published online: 01 March 2009
Abstract

The derivative expansion perturbation method is applied to investigate the modulation of nonlinear ion-acoustic waves in a weakly relativistic warm plasma. At the second order of perturbation theory, a nonlinear Schrödingertype equation for the complex amplitude of the perturbed ion density is obtained. The coefficients in this equation show that the condition of modulational stability is modified by the relativistic effect as well as by the finite ion temperature. The association between the small-wavenumber limit of the nonlinear Schrödinger-type equation and the oscillatory solution of the Korteweg-de Vries equation obtained by reductive perturbation theory is considered. Different limits are considered in order to compare with previous work.

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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.

S. K. El-labany 1991 Astrophys. Space Sci. 182, 241.

T. Kakutani & N. Sugimoto 1974 Phys. Fluids 17, 1617.

T. Kawahara 1973 J. Phys. Soc. Jpn35, 1537.

Y. Nejoh 1988 Phys. Fluids 31, 2914.

E. J. Parkes 1987 J. Phys. A: Math. Gen. 20, 3653.

K. Shimizu & Y. H. Ichikawa 1972 J. Phys. Soc. Jpn33, 789.

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Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
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