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Composite rogue waves and modulation instability for the three-coupled Hirota system in an optical fiber

机译：光纤中三耦合Hirota系统的复合无赖波和调制不稳定性

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摘要

We investigate the three-coupled Hirota system, which is applied to model the long distance communication and ultrafast signal routing systems governing the propagation of light pulses. With the aid of the Darboux dressing transformation, composite rogue wave solutions are derived. Spatial-temporal structures, including the four-petaled structure for the three-coupled Hirota system, are exhibited. We find that the four-petaled rogue waves occur in two of the three components, whereas the eye-shaped rogue wave occurs in the other one. The composite rogue waves can split up into two or three single rogue waves. The corresponding conditions for the occurrence of such phenomena are discussed and presented. We find that the relative position of every single rogue wave is influenced by the ratios of certain parameters. Besides, the linear instability analysis is performed, and our results agree with those from the baseband modulation instability theory.
机译：我们研究了三耦合Hirota系统，该系统用于建模控制光脉冲传播的长距离通信和超快速信号路由系统。借助Darboux修整变换，可以得出复合流浪解。展示了时空结构，包括用于三联广田系统的四瓣结构。我们发现四瓣流氓波出现在三个组件中的两个中，而眼形流氓波出现在另一个组件中。复合无赖波可分为两个或三个单无赖波。讨论并介绍了发生此类现象的相应条件。我们发现每个单个无赖波的相对位置受某些参数比率的影响。此外，进行了线性不稳定性分析，我们的结果与基带调制不稳定性理论中的结果一致。

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  • 来源
    《Optical engineering》 |2017年第10期|106114.1-106114.13|共13页
  • 作者

    Chai Hanpeng; Tian Bo; Chai Jun; Du Zhong;

  • 作者单位

    Beijing University of Posts and Telecommunications, State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing, China;

    Beijing University of Posts and Telecommunications, State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing, China;

    Beijing University of Posts and Telecommunications, State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing, China;

    Beijing University of Posts and Telecommunications, State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    composite rogue waves; Darboux dressing transformation; modulation instability; optical fiber communication; three-coupled Hirota system;

    机译：复合无赖波;Darboux敷料转化;调制不稳定性;光纤通讯;三联广田系统;

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