Head-on collision between two solitary waves in a one-dimensional bead chain

doi:10.1088/1674-1056/27/4/044501

中国物理B ›› 2018, Vol. 27 ›› Issue (4): 44501-044501.doi: 10.1088/1674-1056/27/4/044501

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

Head-on collision between two solitary waves in a one-dimensional bead chain

Fu-Gang Wang(王扶刚), Yang-Yang Yang(杨阳阳), Juan-Fang Han(韩娟芳), Wen-Shan Duan(段文山)

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

收稿日期:2017-11-24 修回日期:2018-01-12 出版日期:2018-04-05 发布日期:2018-04-05
通讯作者: Wen-Shan Duan E-mail:duanws@nwnu.edu.cn
基金资助:
Project supported by the National Magnetic Confinement Fusion Science Program of China (Grant No. 2014GB104002), the National Natural Science Foundation of China (Grant No. 11647313), the Youth Science and Technology Foundation of Gansu Province, China (Grant No. 1606RJYA263), and the Institutes of Higher Education Institutions of Gansu Province, China (Grant No. 2015B-022).

Head-on collision between two solitary waves in a one-dimensional bead chain

Fu-Gang Wang(王扶刚)¹, Yang-Yang Yang(杨阳阳)¹, Juan-Fang Han(韩娟芳)^1,2, Wen-Shan Duan(段文山)^1,2

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

Received:2017-11-24 Revised:2018-01-12 Online:2018-04-05 Published:2018-04-05
Contact: Wen-Shan Duan E-mail:duanws@nwnu.edu.cn
Supported by:
Project supported by the National Magnetic Confinement Fusion Science Program of China (Grant No. 2014GB104002), the National Natural Science Foundation of China (Grant No. 11647313), the Youth Science and Technology Foundation of Gansu Province, China (Grant No. 1606RJYA263), and the Institutes of Higher Education Institutions of Gansu Province, China (Grant No. 2015B-022).

摘要/Abstract

摘要： The head on collision between two opposite propagating solitary waves is studied in the present paper both numerically and analytically. The interesting result is that no phase shift is observed which is different from that found in other branches of physics. It is found that the maximum amplitude in the process of the head on collision is close to the linear sum of two colliding solitary waves.

关键词: discrete system, bead chain, solitary waves

Abstract: The head on collision between two opposite propagating solitary waves is studied in the present paper both numerically and analytically. The interesting result is that no phase shift is observed which is different from that found in other branches of physics. It is found that the maximum amplitude in the process of the head on collision is close to the linear sum of two colliding solitary waves.

Key words: discrete system, bead chain, solitary waves

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)

王扶刚, 杨阳阳, 韩娟芳, 段文山. Head-on collision between two solitary waves in a one-dimensional bead chain[J]. 中国物理B, 2018, 27(4): 44501-044501.

Fu-Gang Wang(王扶刚), Yang-Yang Yang(杨阳阳), Juan-Fang Han(韩娟芳), Wen-Shan Duan(段文山). Head-on collision between two solitary waves in a one-dimensional bead chain[J]. Chin. Phys. B, 2018, 27(4): 44501-044501.

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Head-on collision between two solitary waves in a one-dimensional bead chain

Head-on collision between two solitary waves in a one-dimensional bead chain

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