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

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

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.

Keywords: impurities envelope solitary wave numerical simulation

Received: 15 May 2017
Revised: 09 September 2017
Accepted manuscript online:

PACS:	45.05.+x	(General theory of classical mechanics of discrete systems)
	05.45.-a	(Nonlinear dynamics and chaos)
	45.70.-n	(Granular systems)

Fund: 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).

Corresponding Authors: Wen-Shan Duan
E-mail: duanws@nwnu.edu.cn

Cite this article:

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 2018 Chin. Phys. B 27 014501

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

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