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Vector breathers for the coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber

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  • Du, Zhong
  • Tian, Bo
  • Qu, Qi-Xing
  • Chai, Han-Peng
  • Zhao, Xue-Hui

Abstract

Optical fiber communication is widely applied in the information transmission and capacity handling of information. In this paper, coupled fourth-order nonlinear Schrödinger system, which describes the propagation of ultrashort optical pulses in a birefringent optical fiber, is studied. The Nth-order Darboux transformation and corresponding vector breather solutions are constructed, where N is a positive integer. Based on such solutions, we graphically show four different types of breathers: (1) the one with the one component containing the anti-eye-shaped breather and the other component containing the eye-shaped breather; (2) the one with each component containing the four-petaled breather; (3) the one with each component containing the eye-shaped breather; (4) the one with each component containing the Y-shaped breather. Moreover, we find that the range of the breather along the time axis decreases, and the angle between the breather and the time axis increases as the value of |γ| decreases, where γ represents the strength of higher-order linear and nonlinear effects.

Suggested Citation

  • Du, Zhong & Tian, Bo & Qu, Qi-Xing & Chai, Han-Peng & Zhao, Xue-Hui, 2020. "Vector breathers for the coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303388
    DOI: 10.1016/j.chaos.2019.109403
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    Cited by:

    1. Wu, Gang-Zhou & Fang, Yin & Wang, Yue-Yue & Wu, Guo-Cheng & Dai, Chao-Qing, 2021. "Predicting the dynamic process and model parameters of the vector optical solitons in birefringent fibers via the modified PINN," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Li, Jun-Jie & Zhang, Hui-Cong, 2023. "Propagation dynamics of hybrid-order Poincaré beams in thermal nonlocal media," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    3. Kudryashov, Nikolay A., 2020. "Highly dispersive optical solitons of equation with various polynomial nonlinearity law," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

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