Decaying solitary waves propagating in one-dimensional damped granular chain

doi:10.1088/1674-1056/27/7/074501

中国物理B ›› 2018, Vol. 27 ›› Issue (7): 74501-074501.doi: 10.1088/1674-1056/27/7/074501

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

Decaying solitary waves propagating in one-dimensional damped granular chain

Zongbin Song(宋宗斌), Xueying Yang(杨雪滢), Wenxing Feng(封文星), Zhonghong Xi(席忠红), Liejuan Li(李烈娟), Yuren Shi(石玉仁)

1 College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;
2 Laboratory of Atomic Molecular Physics & Functional Material of Gansu Province, Lanzhou 730070, China;
3 College of Physics and Hydropower Engineering, Gansu Normal University For Nationalities, Hezuo 747000, China

收稿日期:2017-10-19 修回日期:2018-03-21 出版日期:2018-07-05 发布日期:2018-07-05
通讯作者: Yuren Shi E-mail:shiyr@nwnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.11565021 and 11047010) and the Scientific Research Foundation of Northwest Normal University, China (Grant No. NWNU-LKQN-16-3).

Decaying solitary waves propagating in one-dimensional damped granular chain

Zongbin Song(宋宗斌)^1,2, Xueying Yang(杨雪滢)^1,2, Wenxing Feng(封文星)^1,2, Zhonghong Xi(席忠红)^1,2,3, Liejuan Li(李烈娟)^1,2, Yuren Shi(石玉仁)^1,2

1 College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;
2 Laboratory of Atomic Molecular Physics & Functional Material of Gansu Province, Lanzhou 730070, China;
3 College of Physics and Hydropower Engineering, Gansu Normal University For Nationalities, Hezuo 747000, China

Received:2017-10-19 Revised:2018-03-21 Online:2018-07-05 Published:2018-07-05
Contact: Yuren Shi E-mail:shiyr@nwnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.11565021 and 11047010) and the Scientific Research Foundation of Northwest Normal University, China (Grant No. NWNU-LKQN-16-3).

摘要/Abstract

摘要： We numerically investigate the nonlinear waves propagating in a one-dimensional particle chain when the damping effect is taken into account. It is found that decaying solitary waves exist, in which the amplitude of the wave decreases exponentially as time increases. Meanwhile, the velocity of the solitary wave also slows down as time goes. This result implies that the damping coefficient is an important parameter in such a nonlinear system. Theoretical analysis has also been done by the reductive perturbation method. The result indicates that the nonlinear waves propagating in such a system can be described by the damped KdV equation.

关键词: damping granular chain, solitary wave, damped KdV equation

Abstract: We numerically investigate the nonlinear waves propagating in a one-dimensional particle chain when the damping effect is taken into account. It is found that decaying solitary waves exist, in which the amplitude of the wave decreases exponentially as time increases. Meanwhile, the velocity of the solitary wave also slows down as time goes. This result implies that the damping coefficient is an important parameter in such a nonlinear system. Theoretical analysis has also been done by the reductive perturbation method. The result indicates that the nonlinear waves propagating in such a system can be described by the damped KdV equation.

Key words: damping granular chain, solitary wave, damped KdV equation

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

45.05.+x

05.45.-a (Nonlinear dynamics and chaos) 46.40.Cd (Mechanical wave propagation (including diffraction, scattering, and dispersion)) 45.70.-n (Granular systems)

宋宗斌, 杨雪滢, 封文星, 席忠红, 李烈娟, 石玉仁. Decaying solitary waves propagating in one-dimensional damped granular chain[J]. 中国物理B, 2018, 27(7): 74501-074501.

Zongbin Song(宋宗斌), Xueying Yang(杨雪滢), Wenxing Feng(封文星), Zhonghong Xi(席忠红), Liejuan Li(李烈娟), Yuren Shi(石玉仁). Decaying solitary waves propagating in one-dimensional damped granular chain[J]. Chin. Phys. B, 2018, 27(7): 74501-074501.

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Decaying solitary waves propagating in one-dimensional damped granular chain

Decaying solitary waves propagating in one-dimensional damped granular chain

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