Kuznetsov-Ma soliton and Akhmediev breather of higher-order nonlinear Schrödinger equation

doi:10.1088/1674-1056/25/1/010507

中国物理B ›› 2016, Vol. 25 ›› Issue (1): 10507-010507.doi: 10.1088/1674-1056/25/1/010507

Kuznetsov-Ma soliton and Akhmediev breather of higher-order nonlinear Schrödinger equation

Zai-Dong Li(李再东), Xuan Wu(吴璇), Qiu-Yan Li(李秋艳), P B He(贺鹏斌)

1. Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China;
2. College of Physics and Microelectronics Science, Key Laboratory for Micro-Nano Physics and Technology of Hunan Province, Hunan University, Changsha 410082, China

收稿日期:2015-05-29 修回日期:2015-09-07 出版日期:2016-01-05 发布日期:2016-01-05
通讯作者: Zai-Dong Li E-mail:lizd2018@live.com
基金资助:
Project supported by the Key Project of Scientific and Technological Research in Hebei Province, China (Grant No. ZD2015133).

Kuznetsov-Ma soliton and Akhmediev breather of higher-order nonlinear Schrödinger equation

Zai-Dong Li(李再东)¹, Xuan Wu(吴璇)¹, Qiu-Yan Li(李秋艳)¹, P B He(贺鹏斌)²

1. Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China;
2. College of Physics and Microelectronics Science, Key Laboratory for Micro-Nano Physics and Technology of Hunan Province, Hunan University, Changsha 410082, China

Received:2015-05-29 Revised:2015-09-07 Online:2016-01-05 Published:2016-01-05
Contact: Zai-Dong Li E-mail:lizd2018@live.com
Supported by:
Project supported by the Key Project of Scientific and Technological Research in Hebei Province, China (Grant No. ZD2015133).

摘要/Abstract

摘要：

In terms of Darboux transformation, we have exactly solved the higher-order nonlinear Schrödinger equation that describes the propagation of ultrashort optical pulses in optical fibers. We discuss the modulation instability (MI) process in detail and find that the higher-order term has no effect on the MI condition. Under different conditions, we obtain Kuznetsov-Ma soliton and Akhmediev breather solutions of higher-order nonlinear Schrödinger equation. The former describes the propagation of a bright pulse on a continuous wave background in the presence of higher-order effects and the soliton's peak position is shifted owing to the presence of a nonvanishing background, while the latter implies the modulation instability process that can be used in practice to produce a train of ultrashort optical soliton pulses.

关键词: Kuznetsov-Ma soliton, Akhmediev breather

Abstract:

Key words: Kuznetsov-Ma soliton, Akhmediev breather

中图分类号: (Solitons)

05.45.Yv

42.65.Tg (Optical solitons; nonlinear guided waves)

李再东, 吴璇, 李秋艳, 贺鹏斌. Kuznetsov-Ma soliton and Akhmediev breather of higher-order nonlinear Schrödinger equation[J]. 中国物理B, 2016, 25(1): 10507-010507.

Zai-Dong Li(李再东), Xuan Wu(吴璇), Qiu-Yan Li(李秋艳), P B He(贺鹏斌). Kuznetsov-Ma soliton and Akhmediev breather of higher-order nonlinear Schrödinger equation[J]. Chin. Phys. B, 2016, 25(1): 10507-010507.

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Kuznetsov-Ma soliton and Akhmediev breather of higher-order nonlinear Schrödinger equation

Kuznetsov-Ma soliton and Akhmediev breather of higher-order nonlinear Schrödinger equation

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