中国物理B ›› 2003, Vol. 12 ›› Issue (7): 759-764.doi: 10.1088/1009-1963/12/7/311

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Modulational instability of a weakly relativistic ion acoustic wave in a warm plasma with nonthermal electrons

S. K. El-Labany, M. S. Abdel Krim, S. A. El-Warraki, W. F.El-Taibany   

  1. Physics Department, Faculty of Science-Damietta, Mansoura University, Damietta El-Gedida, Egypt
  • 收稿日期:2002-11-15 修回日期:2003-03-12 出版日期:2003-07-16 发布日期:2005-03-16

Modulational instability of a weakly relativistic ion acoustic wave in a warm plasma with nonthermal electrons

S. K. El-Labany, M. S. Abdel Krim, S. A. El-Warraki, W. F.El-Taibany   

  1. Physics Department, Faculty of Science-Damietta, Mansoura University, Damietta El-Gedida, Egypt
  • Received:2002-11-15 Revised:2003-03-12 Online:2003-07-16 Published:2005-03-16

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摘要： An investigation has been made of modulational instability of a nonlinear ion acoustic wave in a weakly relativistic warm unmagnetized nonthermal plasma whose constituents are an inertial ion fluid and nonthermally distributed electrons. Up to the second order of the perturbation theory, a nonlinear Schr?dinger type (NST) equation for the complex amplitude of the perturbed ion density is obtained. The coefficients of this equation show that the relativistic effect, the finite ion temperature and the nonthermal electrons modify the condition of the modulational stability. The association between the small-wavenumber limit of the NST equation and the oscillatory solution of the Korteweg－de Varies equation, obtained by a reductive perturbation theory, is satisfied.

Abstract: An investigation has been made of modulational instability of a nonlinear ion acoustic wave in a weakly relativistic warm unmagnetized nonthermal plasma whose constituents are an inertial ion fluid and nonthermally distributed electrons. Up to the second order of the perturbation theory, a nonlinear Schr?dinger type (NST) equation for the complex amplitude of the perturbed ion density is obtained. The coefficients of this equation show that the relativistic effect, the finite ion temperature and the nonthermal electrons modify the condition of the modulational stability. The association between the small-wavenumber limit of the NST equation and the oscillatory solution of the Korteweg－de Varies equation, obtained by a reductive perturbation theory, is satisfied.

Key words: derivative expansion method, warm plasma, ion acoustic waves, modulational instability

中图分类号:  (Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))

  • 52.35.Py
52.35.Fp (Electrostatic waves and oscillations (e.g., ion-acoustic waves)) 52.25.Kn (Thermodynamics of plasmas) 52.65.Vv (Perturbative methods)