| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Particle-in-Cell Simulation of the Reflection of a Korteweg–de Vries Solitary Wave and an Envelope Solitary Wave at a Solid Boundary |
| Jie Zhang1, Xin Qi2, Heng Zhang1, Wen-Shan Duan1** |
1College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070
2Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000
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| Cite this article: |
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Jie Zhang, Xin Qi, Heng Zhang et al 2016 Chin. Phys. Lett. 33 065202 |
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Abstract Reflections of a Korteweg–de Vries (KdV) solitary wave and an envelope solitary wave are studied by using the particle-in-cell simulation method. Defining the phase shift of the reflected solitary wave, we notice that there is a phase shift of the reflected KdV solitary wave, while there is no phase shift for an envelope solitary wave. It is also noted that the reflection of a KdV solitary wave at a solid boundary is equivalent to the head-on collision between two identical amplitude solitary waves.
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Received: 04 January 2016
Published: 30 June 2016
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| PACS: |
52.27.Lw
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(Dusty or complex plasmas; plasma crystals)
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52.25.Dg
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(Plasma kinetic equations)
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52.35.Sb
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(Solitons; BGK modes)
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