Damping Solitary Wave in a Three-Dimensional Rectangular Geometry Plasma  

Damping Solitary Wave in a Three-Dimensional Rectangular Geometry Plasma

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作  者:仁艳秋 李滚 段文山 

机构地区:[1]School of Aeronautics and Astronautics,University of Electronic Science and Technology of China [2]Department of Mechanical and Aerospace Engineering,Rutgers University,The State University of New Jersey [3]College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS,Northwest Normal University

出  处:《Plasma Science and Technology》2016年第2期108-113,共6页等离子体科学和技术(英文版)

基  金:supported by National Natural Science Foundation of China(Nos.91026005,11275156,11047010,61162017)

摘  要:The solitary waves of a viscous plasma confined in a cuboid under the three types of boundary condition are theoretically investigated in the present paper.By introducing a threedimensional rectangular geometry and employing the reductive perturbation theory,a quasi-Kd V equation is derived in the viscous plasma and a damping solitary wave is obtained.It is found that the damping rate increases as the viscosity coefficient increases,or increases as the length and width of the rectangle decrease,for all kinds of boundary condition.Nevertheless,the magnitude of the damping rate is dominated by the types of boundary condition.We thus observe the existence of a damping solitary wave from the fact that its amplitude disappears rapidly for a → 0and b → 0,or ν→ +∞.The solitary waves of a viscous plasma confined in a cuboid under the three types of boundary condition are theoretically investigated in the present paper.By introducing a threedimensional rectangular geometry and employing the reductive perturbation theory,a quasi-Kd V equation is derived in the viscous plasma and a damping solitary wave is obtained.It is found that the damping rate increases as the viscosity coefficient increases,or increases as the length and width of the rectangle decrease,for all kinds of boundary condition.Nevertheless,the magnitude of the damping rate is dominated by the types of boundary condition.We thus observe the existence of a damping solitary wave from the fact that its amplitude disappears rapidly for a → 0and b → 0,or ν→ +∞.

关 键 词:damping solitary wave viscous plasma reductive perturbation theory quasi-KdV equation 

分 类 号:O53[理学—等离子体物理] TM862[理学—物理]

 

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