Particle-in-Cell Simulation of the Reflection of a Korteweg-de Vries Solitary Wave and an Envelope Solitary Wave at a Solid Boundary

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...

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Bibliographic Details
Published inChinese physics letters Vol. 33; no. 6; pp. 62 - 66
Main Author 张洁 齐新 张恒 段文山
Format Journal Article
LanguageEnglish
Published 01.06.2016
Subjects
KdV
包络孤立波
反射
固体
模拟方法
相移
粒子模拟
边界
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Summary: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.
Bibliography:11-1959/O4
Jie Zhang, Xin Qi, Heng Zhang, Wen-Shah Duan（ 1 College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070 2Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000）
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.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/33/6/065202