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Chin. Phys. B, 2016, Vol. 25(1): 010507    DOI: 10.1088/1674-1056/25/1/010507
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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
Abstract  

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.

Keywords:  Kuznetsov-Ma soliton      Akhmediev breather  
Received:  29 May 2015      Revised:  07 September 2015      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  42.65.Tg (Optical solitons; nonlinear guided waves)  
Fund: 

Project supported by the Key Project of Scientific and Technological Research in Hebei Province, China (Grant No. ZD2015133).

Corresponding Authors:  Zai-Dong Li     E-mail:  lizd2018@live.com

Cite this article: 

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 2016 Chin. Phys. B 25 010507

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