磁场对含有双温离子非均匀尘埃等离子体中三维孤波特性的影响

核聚变与等离子体物理 ›› 2014, Vol. 34 ›› Issue (2): 102-106.

磁场对含有双温离子非均匀尘埃等离子体中三维孤波特性的影响

马栋林1，张玺君2

(1. 兰州理工大学信息中心，兰州 730050；2. 兰州理工大学计算机与通信学院，兰州 730050)

收稿日期:2013-07-17 修回日期:2014-02-12 出版日期:2014-06-15 发布日期:2014-06-16
作者简介:马栋林(1971-)，男，回族，甘肃兰州人，副教授，学士，主要从事于等离子体物理的研究。
基金资助:
国家自然科学基金资助项目(61164006)

Effect of magnetic field on solitary waves in inhomogeneous dusty plasmas with two temperature ions

MA Dong-lin1, ZHANG Xi-jun2

(1. Information Center of Lanzhou University of Technology, Lanzhou 730050; 2. School of computer and communication, Lanzhou University of Technology, Lanzhou 730050)

Received:2013-07-17 Revised:2014-02-12 Online:2014-06-15 Published:2014-06-16

摘要/Abstract

摘要：

利用数值方法研究了双温离子、磁场、非均匀性和波的斜向传播对三维非线性尘埃声孤波振幅和宽度的影响。运用约化摄动法得到描述三维非线性尘埃声孤波的非标准变系数Korteweg-de Vries (KdV)方程。然后把非标准变系数KdV方程变为标准变系数KdV方程，并且得到了此标准变系数KdV方程的近似解析解。研究结果表明，此系统中存在着两种形式的孤波，即压缩型孤波和稀疏型孤波，外部磁场对三维非线性尘埃声孤波的宽度有影响，而对其振幅没有影响。此外，波的相速度与波的斜向传播和非均匀性有着非常紧密的联系。

关键词: 尘埃等离子体, 双温离子, 磁场, 非均匀性

Abstract:

The effect two temperature ions, the magnetic field, the inhomogeneity and the oblique propagation of waves on the amplitude and the width of the three dimensional dust acoustic solitary waves are studied numerically. By using the reductive perturbation theory, a modified variable coefficients Korteweg-de Vries (KdV) equation is derived. The approximate analytical solution of standard variable coefficients KdV equation derived from modified variable coefficients KdV equation is obtained. The results show that both compressive and rarefactive solitary waves exist. The amplitude of solitary waves is independent of the external magnetized field, but the width of solitary waves is dependent of the external magnetized field. Moreover, the phase velocity of waves is dependent of the oblique propagation of waves and inhomogeneity.

Key words: Dusty plasmas, Two ion temperature, Magnetic field, Inhomogeneity

中图分类号:

O534

马栋林1，张玺君2. 磁场对含有双温离子非均匀尘埃等离子体中三维孤波特性的影响[J]. 核聚变与等离子体物理, 2014, 34(2): 102-106.

MA Dong-lin1, ZHANG Xi-jun2. Effect of magnetic field on solitary waves in inhomogeneous dusty plasmas with two temperature ions[J]. NUCLEAR FUSION AND PLASMA PHYSICS, 2014, 34(2): 102-106.

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