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

A nonlinear Schrodinger 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 tha...

Full description

Saved in:
Bibliographic Details
Published inChinese physics B Vol. 27; no. 1; pp. 402 - 407
Main Authors Du, Wen-Qing, Sun, Jian-An, Yang, Yang-Yang, Duan, Wen-Shan
Format Journal Article
LanguageEnglish
Published 2018
Online AccessGet full text

Cover

More Information
Summary:A nonlinear Schrodinger 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.
Bibliography:Wen-Qing Dul, Jian-An Sun1, Yang-Yang Yang2, and Wen-Shan Duan（ 1 College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of N~h NU ＆ IMP CAS Northwest Normal University, Lanzhou 730070, China 2Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China）
A nonlinear Schrodinger 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.
11-5639/O4
impurities, envelope solitary wave, numerical simulation
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/27/1/014501