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 |
DOI | 10.1088/0031-8949/83/04/045501 |
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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