Existence and damping of dust acoustic solitary waves in a bounded geometry.

Existence and damping of dust acoustic solitary waves in a bounded geometry.
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DOI：
10.1103/physreve.87.063101
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发表时间：
2013-06
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
通讯作者：
Xueying Yang;Cong-Bo Liu;Yang Yang-Yang;Yu-ren Shi;Yan-Xia Xu;Dong-ning Gao;W. Duan;Lei Yang
Xueying Yang;Cong-Bo Liu;Yang Yang-Yang;Yu-ren Shi;Yan-Xia Xu;Dong-ning Gao;W. Duan;Lei Yang
中科院分区：
其他
文献类型：
--
作者：
Xueying Yang;Cong-Bo Liu;Yang Yang-Yang;Yu-ren Shi;Yan-Xia Xu;Dong-ning Gao;W. Duan;Lei Yang

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研究了孤立波在有限几何约束的尘埃等离子体中的传播。利用约化摄动方法，我们得到了一个拟Korteweg-de Vries方程。指出粘滞系数μ(0)值越大，孤立波的衰减越强。另一方面，有界几何半径R的值越大，孤立波的衰减越弱。还发现了准孤立波的存在。然而，孤立波是一种阻尼波，在R→0或μ(0)→+∞的有限情况下，它将消失。
The propagation of the solitary wave in a dusty plasma bounded in finite geometry has been investigated. By employing the reductive perturbation method, we obtain a quasi Korteweg-de Vries-type equation. It is noted that the larger the value of viscosity coefficient μ(0), the stronger the damping of the solitary wave. On the other hand, the larger the value of the radius of bounded geometry R, the weaker the damping of the solitary wave. It is also found that the quasisolitary wave exists. However, the solitary wave is a damping one, and it will disappear in the limited case of R→0 or μ(0)→+∞.