Transition,coexistence, and interaction of vector localized waves arising from higher-order effects |
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Authors: | Chong Liu Zhan-Ying Yang Li-Chen Zhao Wen-Li Yang |
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Institution: | 1. School of Physics, Northwest University, Xi’an 710069, China;2. Institute of Modern Physics, Northwest University, Xi’an 710069, China |
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Abstract: | We study vector localized waves on continuous wave background with higher-order effects in a two-mode optical fiber. The striking properties of transition, coexistence, and interaction of these localized waves arising from higher-order effects are revealed in combination with corresponding modulation instability (MI) characteristics. It shows that these vector localized wave properties have no analogues in the case without higher-order effects. Specifically, compared to the scalar case, an intriguing transition between bright–dark rogue waves and w-shaped–anti-w-shaped solitons, which occurs as a result of the attenuation of MI growth rate to vanishing in the zero-frequency perturbation region, is exhibited with the relative background frequency. In particular, our results show that the w-shaped–anti-w-shaped solitons can coexist with breathers, coinciding with the MI analysis where the coexistence condition is a mixture of a modulation stability and MI region. It is interesting that their interaction is inelastic and describes a fusion process. In addition, we demonstrate an annihilation phenomenon for the interaction of two w-shaped solitons which is identified essentially as an inelastic collision in this system. |
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Keywords: | Vector rogue waves Coupled Hirota model Modulation instability Higher-order effects |
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