Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations

doi:10.1088/1674-1056/28/1/010504

中国物理B ›› 2019, Vol. 28 ›› Issue (1): 10504-010504.doi: 10.1088/1674-1056/28/1/010504

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations

Zai-Dong Li(李再东), Yang-yang Wang(王洋洋), Peng-Bin He(贺鹏斌)

1 Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China;
2 Key Laboratory of Electronic Materials and Devices of Tianjin, School of Electronics and Information Engineering, Hebei University of Technology, Tianjin 300401, China;
3 School of Physics and Electronics, Hunan University, Changsha 410082, China

收稿日期:2018-09-25 修回日期:2018-11-06 出版日期:2019-01-05 发布日期:2019-01-05
通讯作者: Zai-Dong Li E-mail:lizd@hebut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61774001) and the Natural Science Foundation of Hunan Province, China (Grant No. 2017JJ2045).

Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations

Zai-Dong Li(李再东)^1,2, Yang-yang Wang(王洋洋)¹, Peng-Bin He(贺鹏斌)³

1 Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China;
2 Key Laboratory of Electronic Materials and Devices of Tianjin, School of Electronics and Information Engineering, Hebei University of Technology, Tianjin 300401, China;
3 School of Physics and Electronics, Hunan University, Changsha 410082, China

Received:2018-09-25 Revised:2018-11-06 Online:2019-01-05 Published:2019-01-05
Contact: Zai-Dong Li E-mail:lizd@hebut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61774001) and the Natural Science Foundation of Hunan Province, China (Grant No. 2017JJ2045).

摘要/Abstract

摘要：

Based on the developed Darboux transformation, we investigate the exact asymmetric solutions of breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations. As an example, some types of exact breather solutions are given analytically by adjusting the parameters. Moreover, the interesting fundamental problem is to clarify the formation mechanism of asymmetry breather solutions and how the particle number and energy exchange between the background and soliton ultimately form the breather solutions. Our results also show that the formation mechanism from breather to rogue wave arises from the transformation from the periodic total exchange into the temporal local property.

关键词: Akhmediev breather solution, Kuznetsov-Ma breather solution, rogue wave, nonuniform exchange

Abstract:

Key words: Akhmediev breather solution, Kuznetsov-Ma breather solution, rogue wave, nonuniform exchange

中图分类号: (Solitons)

05.45.Yv

42.65.Tg (Optical solitons; nonlinear guided waves)

李再东, 王洋洋, 贺鹏斌. Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations[J]. 中国物理B, 2019, 28(1): 10504-010504.

Zai-Dong Li(李再东), Yang-yang Wang(王洋洋), Peng-Bin He(贺鹏斌). Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations[J]. Chin. Phys. B, 2019, 28(1): 10504-010504.

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Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations

Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations

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