Experimental observation of solitary waves in a new designed pendulum chain system

Changqing Zhu; Juanmian Lei; Yecun Wu; Nan Li; Da Chen; Qingfan Shi

doi:10.1088/0143-0807/36/4/045002

Experimental observation of solitary waves in a new designed pendulum chain system

Changqing Zhu, Juanmian Lei, Yecun Wu, Nan Li, Da Chen, Qingfan Shi

School of Aerospace Engineering

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

A new coupled pendulum chain system is developed to vividly simulate the solitary solutions of the sine-Gordon (SG) equation. Transmission processes of three kinds of solitons (kink, anti-kink and breather) are systematically observed by using a high speed camera system. The solutions of the SG equation are derived through deducing the net external torque of the pendulums. The experimental data obtained are consistent with the theoretical calculation, which verifies that the system designed is an effective device to demonstrate the nonlinear behaviour of solitary waves in teaching and learning.

Original language	English
Article number	045002
Journal	European Journal of Physics
Volume	36
Issue number	4
DOIs	https://doi.org/10.1088/0143-0807/36/4/045002
Publication status	Published - 1 Jul 2015

Keywords

SG equation
breather
kink and anti-kink
solitary wave

Access to Document

10.1088/0143-0807/36/4/045002

Cite this

@article{e185f3ddb4124b36b9c4fb9b49b39760,

title = "Experimental observation of solitary waves in a new designed pendulum chain system",

abstract = "A new coupled pendulum chain system is developed to vividly simulate the solitary solutions of the sine-Gordon (SG) equation. Transmission processes of three kinds of solitons (kink, anti-kink and breather) are systematically observed by using a high speed camera system. The solutions of the SG equation are derived through deducing the net external torque of the pendulums. The experimental data obtained are consistent with the theoretical calculation, which verifies that the system designed is an effective device to demonstrate the nonlinear behaviour of solitary waves in teaching and learning.",

keywords = "SG equation, breather, kink and anti-kink, solitary wave",

author = "Changqing Zhu and Juanmian Lei and Yecun Wu and Nan Li and Da Chen and Qingfan Shi",

note = "Publisher Copyright: {\textcopyright} 2015 IOP Publishing Ltd.",

year = "2015",

month = jul,

day = "1",

doi = "10.1088/0143-0807/36/4/045002",

language = "English",

volume = "36",

journal = "European Journal of Physics",

issn = "0143-0807",

publisher = "Institute of Physics",

number = "4",

}

TY - JOUR

T1 - Experimental observation of solitary waves in a new designed pendulum chain system

AU - Zhu, Changqing

AU - Lei, Juanmian

AU - Wu, Yecun

AU - Li, Nan

AU - Chen, Da

AU - Shi, Qingfan

PY - 2015/7/1

Y1 - 2015/7/1

N2 - A new coupled pendulum chain system is developed to vividly simulate the solitary solutions of the sine-Gordon (SG) equation. Transmission processes of three kinds of solitons (kink, anti-kink and breather) are systematically observed by using a high speed camera system. The solutions of the SG equation are derived through deducing the net external torque of the pendulums. The experimental data obtained are consistent with the theoretical calculation, which verifies that the system designed is an effective device to demonstrate the nonlinear behaviour of solitary waves in teaching and learning.

AB - A new coupled pendulum chain system is developed to vividly simulate the solitary solutions of the sine-Gordon (SG) equation. Transmission processes of three kinds of solitons (kink, anti-kink and breather) are systematically observed by using a high speed camera system. The solutions of the SG equation are derived through deducing the net external torque of the pendulums. The experimental data obtained are consistent with the theoretical calculation, which verifies that the system designed is an effective device to demonstrate the nonlinear behaviour of solitary waves in teaching and learning.

KW - SG equation

KW - breather

KW - kink and anti-kink

KW - solitary wave

UR - http://www.scopus.com/inward/record.url?scp=84934997121&partnerID=8YFLogxK

U2 - 10.1088/0143-0807/36/4/045002

DO - 10.1088/0143-0807/36/4/045002

M3 - Article

AN - SCOPUS:84934997121

SN - 0143-0807

VL - 36

JO - European Journal of Physics

JF - European Journal of Physics

IS - 4

M1 - 045002

ER -

Experimental observation of solitary waves in a new designed pendulum chain system

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this