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.
Received: 10 July 2003
Revised: 18 January 2004
Accepted manuscript online:
Fund: 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
Cite this article:
Duan Wen-Shan (段文山) Effect of adiabatic variation of dust charges on dust acoustic solitary waves in magnetized dusty plasmas 2004 Chinese Physics 13 598
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