中国物理B ›› 2004, Vol. 13 ›› Issue (1): 60-64.doi: 10.1088/1009-1963/13/1/012

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇    下一篇

The KP and ZK equations for electrostatic waves with grain charge fluctuation

薛具奎, 郎和   

  1. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
  • 收稿日期:2002-12-31 修回日期:2003-04-08 出版日期:2005-01-22 发布日期:2007-03-22
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10347006).

The KP and ZK equations for electrostatic waves with grain charge fluctuation

Xue Ju-Kui (薛具奎), Lang He (郎和)   

  1. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
  • Received:2002-12-31 Revised:2003-04-08 Online:2005-01-22 Published:2007-03-22
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10347006).

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摘要： The propagation of three-dimensional nonlinear dust-acoustic and dust-Coulomb waves in unmagnetized/magnetized dusty plasmas consisting of electrons, ions, and charged dust particles is investigated. The grain charge fluctuation effect is also incorporated through the current balance equation. By using the perturbation method, a Kadomtsev－Petviashvili equation and a Zakharov－Kuznetsov equation governing the nonlinear waves in the unmagnetized and magnetized systems are obtained respectively. It has been shown that with the combined effects of grain charge fluctuation, the transverse perturbation, and the external magnetic field would modify the wave structures. Waves in those systems are unstable to the high-order long-wave perturbations.

Abstract: The propagation of three-dimensional nonlinear dust-acoustic and dust-Coulomb waves in unmagnetized/magnetized dusty plasmas consisting of electrons, ions, and charged dust particles is investigated. The grain charge fluctuation effect is also incorporated through the current balance equation. By using the perturbation method, a Kadomtsev－Petviashvili equation and a Zakharov－Kuznetsov equation governing the nonlinear waves in the unmagnetized and magnetized systems are obtained respectively. It has been shown that with the combined effects of grain charge fluctuation, the transverse perturbation, and the external magnetic field would modify the wave structures. Waves in those systems are unstable to the high-order long-wave perturbations.

Key words: transverse perturbation, dust charge fluctuation, dust-acoustic and dust-Coulomb waves

中图分类号:  (Electrostatic waves and oscillations (e.g., ion-acoustic waves))

  • 52.35.Fp
52.27.Lw (Dusty or complex plasmas; plasma crystals) 52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)) 52.25.Gj (Fluctuation and chaos phenomena) 52.25.Xz (Magnetized plasmas)