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The 3+1 dimensional Kadomtsev-Petviashvili Burgers' equation in non-uniform dusty plasmas
Zhang, Li-Ping2; Xue, Ju-Kui1; Yuan, Li-Hua2
刊名Physica Scripta
2011
卷号83期号:4
关键词Dust Nonlinear equations Perturbation techniques Plasma density Plasma diagnostics Plasma shock waves Plasma theory Semiconductor plasmas Wave plasma interactions Burgers' equations Dust acoustic shock wave Dust charge fluctuation Particular solution Perturbation method Spatial gradients Transverse perturbation Variable coefficients
ISSN号00318949
DOI10.1088/0031-8949/83/04/045501
英文摘要Using the perturbation method, the 3+1 dimensional modified variable coefficient Kadomtsev-Petviashvili (MKP) Burgers' equation governing nonlinear dust acoustic shock waves is derived with the combined effects of non-adiabatic dust charge fluctuation, higher-order transverse perturbation and the non-thermally distributed ions in inhomogeneous dusty plasmas due to spatial gradients of dust charge and plasma densities for the first time. The MKP Burgers' equation is reduced to the standard variable coefficient Kadomtsev-Petviashvili (KP) Burgers' equation. A particular solution of this KP Burgers' equation is also obtained. It is shown that the dust acoustic shock waves can exist in the KP Burgers' equation. © 2011 The Royal Swedish Academy of Sciences.
WOS研究方向Physics
语种英语
出版者Institute of Physics Publishing
WOS记录号WOS:000288897600013
内容类型期刊论文
源URL[http://ir.lut.edu.cn/handle/2XXMBERH/111589]  
专题理学院
兰州理工大学
作者单位1.College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
2.School of Sciences, LanZhou University of Technology, Lanzhou 730050, China;
推荐引用方式
GB/T 7714
Zhang, Li-Ping,Xue, Ju-Kui,Yuan, Li-Hua. The 3+1 dimensional Kadomtsev-Petviashvili Burgers' equation in non-uniform dusty plasmas[J]. Physica Scripta,2011,83(4).
APA Zhang, Li-Ping,Xue, Ju-Kui,&Yuan, Li-Hua.(2011).The 3+1 dimensional Kadomtsev-Petviashvili Burgers' equation in non-uniform dusty plasmas.Physica Scripta,83(4).
MLA Zhang, Li-Ping,et al."The 3+1 dimensional Kadomtsev-Petviashvili Burgers' equation in non-uniform dusty plasmas".Physica Scripta 83.4(2011).
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