中国物理B ›› 2004, Vol. 13 ›› Issue (5): 598-601.doi: 10.1088/1009-1963/13/5/007

• GENERAL • 上一篇    下一篇

Effect of adiabatic variation of dust charges on dust acoustic solitary waves in magnetized dusty plasmas

段文山   

  1. Department of Physics, Northwest Normal University, Lanzhou 730070, China
  • 收稿日期:2003-07-10 修回日期:2004-01-18 出版日期:2005-07-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the National Natural Science Foundation (Grant No 10247008), the Natural Science Foundation of Gansu Province (Grant No YS021-A22-018), the Scientific Research Foundation (SRF) for the Returned Overseas Chinese Scholars (ROCF), State

Effect of adiabatic variation of dust charges on dust acoustic solitary waves in magnetized dusty plasmas

Duan Wen-Shan (段文山)   

  1. Department of Physics, Northwest Normal University, Lanzhou 730070, China
  • Received:2003-07-10 Revised:2004-01-18 Online:2005-07-06 Published:2005-07-06
  • Supported by:
    Project supported by the National Natural Science Foundation (Grant No 10247008), the Natural Science Foundation of Gansu Province (Grant No YS021-A22-018), the Scientific Research Foundation (SRF) for the Returned Overseas Chinese Scholars (ROCF), State

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摘要： The effect of dust charging and the influence of its adiabatic variation on dust acoustic waves is investigated. By employing the reductive perturbation technique we derived a Zakharov－Kuznetsov (ZK) equation for small amplitude dust acoustic waves. We have analytically verified that there are only rarefactive solitary waves for this system. The instability region for one-dimensional solitary wave under transverse perturbations has also been obtained. The obliquely propagating solitary waves to the z-direction for the ZK equation are given in this paper as well.

Abstract: The effect of dust charging and the influence of its adiabatic variation on dust acoustic waves is investigated. By employing the reductive perturbation technique we derived a Zakharov－Kuznetsov (ZK) equation for small amplitude dust acoustic waves. We have analytically verified that there are only rarefactive solitary waves for this system. The instability region for one-dimensional solitary wave under transverse perturbations has also been obtained. The obliquely propagating solitary waves to the z-direction for the ZK equation are given in this paper as well.

Key words: soliton, dusty plasma, Zakharov－Kuznetsov equation

中图分类号:  (Dusty or complex plasmas; plasma crystals)

  • 52.27.Lw
52.65.Vv (Perturbative methods) 52.35.Qz (Microinstabilities (ion-acoustic, two-stream, loss-cone, beam-plasma, drift, ion- or electron-cyclotron, etc.)) 52.35.Sb (Solitons; BGK modes)