Damping solitary wave under the second and third boundary condition of a viscous plasma

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• 作者：G Li ; Y-Q Ren
• 关键词：Viscosity plasma ; Damping solitary wave ; Nonlinear phenomena ; KdV ; type equation
• 刊名：Indian Journal of Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：91
• 期：2
• 页码：219-223
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general; Astrophysics and Astroparticles;
• 出版者：Springer India
• ISSN：0974-9845
• 卷排序：91

文摘

In this paper, the solitary waves of a viscous plasma confined in a cylindrical pipe is investigated under two types of boundary condition. By using the reductive perturbation theory, a quasi-KdV equation is derived and a damping solitary wave is obtained. It is found that the damping rate increases with the viscosity coefficient of the plasma \(\nu '\) increasing and the radius of the cylindrical pipe R decreasing for second and third boundary condition. The magnitude of the damping rate is also dominated by boundary condition type. From the fact that the amplitude reduces rapidly when R approaches zero or \(\nu '\) approaches infinite, we confirm the existence of a damping solitary wave.