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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Cylindrical and spherical dust–ion acoustic solitary waves in a relativistic dust plasma
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Cylindrical and spherical dust–ion acoustic solitary waves in a relativistic dust plasma

机译：相对论尘埃等离子体中的圆柱形和球形尘埃离子孤波

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摘要

The properties of cylindrical and spherical dust–ion acoustic solitary waves (DIASW) in an unmagnetized dust plasma comprised of relativistic ions, Boltzmann electrons and stationary dust particles are investigated for the first time in this paper. By using the standard reductive perturbation method, a cylindrical/spherical KdV equation is obtained. The change in the DIASW structure due to the effects of geometry, relativistic streaming factor, ion density, and electron temperature is studied by numerical calculation of the cylindrical/spherical KdV equation. It is observed that the properties of DIASW in cylindrical and spherical geometry differ from those in planar one-dimensional geometry, and the amplitude of the solitary wave decreases with increasing electron temperature and increases with increasing relativistic streaming factor, ion density, and vice versa. It is shown that the soliton height is closely related to the nonlinearity coefficient: the height increases as the nonlinearity coefficient decreases.
机译：本文首次研究了由相对论离子，玻尔兹曼电子和固定尘埃粒子组成的未磁化尘埃等离子体中的圆柱形和球形尘埃离子孤波（DIASW）的特性。通过使用标准的还原摄动方法，获得了圆柱/球形KdV方程。通过对圆柱/球形KdV方程的数值计算，研究了由于几何，相对论流因子，离子密度和电子温度的影响而引起的DIASW结构的变化。可以看出，DIASW在圆柱和球形几何结构中的特性与在平面一维几何结构中的特性不同，并且孤波的幅度随着电子温度的升高而减小，并且随着相对论流动因子，离子密度的增大而增大，反之亦然。结果表明，孤子高度与非线性系数密切相关：高度随非线性系数的减小而增加。

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