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Interaction between Breathers and Rogue Waves in a Nonlinear Optical Fiber |
Xiang-Shu Liu1,2, Li-Chen Zhao1,3, Liang Duan1,3, Peng Gao1,3, Zhan-Ying Yang1,3**, Wen-Li Yang3,4 |
1School of Physics, Northwest University, Xi'an 710069 2Faculty of Science, Qinzhou University, Qinzhou 535000 3Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710069 4Institute of Modern Physics, Northwest University, Xi'an 710069
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Cite this article: |
Xiang-Shu Liu, Li-Chen Zhao, Liang Duan et al 2018 Chin. Phys. Lett. 35 020501 |
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Abstract We study the interaction between breather and $N$-order rogue waves in a nonlinear optical fiber. The impacts of the relative phase and the interaction distance between breathers and rogue waves are discussed in detail. Specifically, the breather can reduce the maximum hump value of high-order rogue waves greatly in the cases of nonzero relative phase or nonzero interaction distance. The characteristic of exclusion between breathers and rogue waves is described qualitatively in the situation of different interaction distances, which can be used to change the temporal-spatial distribution of rogue waves. Their interaction properties are characterized by the trajectory of localized waves' valleys and humps. It is shown that the interaction changes the dynamical evolution trajectory of rogue waves and breathers. These results provide some possible ways to control high-order rogue waves.
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Received: 18 September 2017
Published: 23 January 2018
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PACS: |
05.45.Yv
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(Solitons)
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42.65.Tg
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(Optical solitons; nonlinear guided waves)
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42.81.Dp
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(Propagation, scattering, and losses; solitons)
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Fund: Supported by the National Natural Science Foundation of China under Grant No 11475135, the Guangxi Provincial Education Department Research Project of China under Grant No 2017KY0776, the Shaanxi Provincial Science Association of Colleges and Universities of China under Grant No 20160216, and the Special Research Project of Education Department of Shaanxi Provincial Government under Grant No 16JK1763. |
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