26 October 2017 Composite rogue waves and modulation instability for the three-coupled Hirota system in an optical fiber
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Abstract
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.
© 2017 Society of Photo-Optical Instrumentation Engineers (SPIE)
Han-Peng Chai, Bo Tian, Jun Chai, Zhong Du, "Composite rogue waves and modulation instability for the three-coupled Hirota system in an optical fiber," Optical Engineering 56(10), 106114 (26 October 2017). https://doi.org/10.1117/1.OE.56.10.106114 . Submission: Received: 12 July 2017; Accepted: 14 September 2017
Received: 12 July 2017; Accepted: 14 September 2017; Published: 26 October 2017
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