Envelope solitary waves and their reflection and transmission due to impurities in a granular material

doi:10.1088/1674-1056/27/1/014501

中国物理B ›› 2018, Vol. 27 ›› Issue (1): 14501-014501.doi: 10.1088/1674-1056/27/1/014501

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Envelope solitary waves and their reflection and transmission due to impurities in a granular material

Wen-Qing Du(杜文青), Jian-An Sun(孙建安), Yang-Yang Yang(杨阳阳), Wen-Shan Duan(段文山)

1 College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou 730070, China;
2 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

收稿日期:2017-05-15 修回日期:2017-09-09 出版日期:2018-01-05 发布日期:2018-01-05
通讯作者: Wen-Shan Duan E-mail:duanws@nwnu.edu.cn
基金资助:
Project supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA01020304) and the National Natural Science Foundation of China (Grant Nos. 91026005, 11547304, 11275156, 11047010, and 61162017).

Envelope solitary waves and their reflection and transmission due to impurities in a granular material

Wen-Qing Du(杜文青)¹, Jian-An Sun(孙建安)¹, Yang-Yang Yang(杨阳阳)², Wen-Shan Duan(段文山)¹

1 College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou 730070, China;
2 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

Received:2017-05-15 Revised:2017-09-09 Online:2018-01-05 Published:2018-01-05
Contact: Wen-Shan Duan E-mail:duanws@nwnu.edu.cn
Supported by:
Project supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA01020304) and the National Natural Science Foundation of China (Grant Nos. 91026005, 11547304, 11275156, 11047010, and 61162017).

摘要/Abstract

摘要： A nonlinear Schrödinger equation in one-dimensional bead chain is first obtained and an envelope solitary wave of the system is verified numerically in this system. The reflection and the transmission of an incident envelope solitary wave due to impurities has also been investigated. It is found that the magnitudes of both the reflection and the transmission not only depend on the characters of impurity materials, the wave number, the incident wave amplitude, but also on the impurity number. This can be used to detect the character and the number of the impurity materials in the bead chain by measuring the reflection and the transmission of an incident pulse.

关键词: impurities, envelope solitary wave, numerical simulation

Abstract: A nonlinear Schrödinger equation in one-dimensional bead chain is first obtained and an envelope solitary wave of the system is verified numerically in this system. The reflection and the transmission of an incident envelope solitary wave due to impurities has also been investigated. It is found that the magnitudes of both the reflection and the transmission not only depend on the characters of impurity materials, the wave number, the incident wave amplitude, but also on the impurity number. This can be used to detect the character and the number of the impurity materials in the bead chain by measuring the reflection and the transmission of an incident pulse.

Key words: impurities, envelope solitary wave, numerical simulation

中图分类号: (General theory of classical mechanics of discrete systems)

45.05.+x

05.45.-a (Nonlinear dynamics and chaos) 45.70.-n (Granular systems)

杜文青, 孙建安, 杨阳阳, 段文山. Envelope solitary waves and their reflection and transmission due to impurities in a granular material[J]. 中国物理B, 2018, 27(1): 14501-014501.

Wen-Qing Du(杜文青), Jian-An Sun(孙建安), Yang-Yang Yang(杨阳阳), Wen-Shan Duan(段文山). Envelope solitary waves and their reflection and transmission due to impurities in a granular material[J]. Chin. Phys. B, 2018, 27(1): 14501-014501.

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Envelope solitary waves and their reflection and transmission due to impurities in a granular material

Envelope solitary waves and their reflection and transmission due to impurities in a granular material

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