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Gap solitons and nonlinear Bloch waves in fractional quantum coupler with periodic potential

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  • Bao, Y.Y.
  • Li, S.R.
  • Liu, Y.H.
  • Xu, T.F.

Abstract

We study gap solitons and nonlinear Bloch waves in the nonlinear fractional order quantum coupler modulated by periodic potential. The results show that the gap solitons match almost perfectly with nonlinear Bloch waves. The stability of the solitons is carefully investigated by the linear stability analysis and the real-time evolution method. We find that the variations of Lévy index and chemical potential have a profound impact on the existence, profile and stability of solitons. The stability enhances with the increase of the Lévy index α or potential in the corresponding parameter interval.

Suggested Citation

  • Bao, Y.Y. & Li, S.R. & Liu, Y.H. & Xu, T.F., 2022. "Gap solitons and nonlinear Bloch waves in fractional quantum coupler with periodic potential," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000649
    DOI: 10.1016/j.chaos.2022.111853
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    References listed on IDEAS

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    5. Zeng, Liangwei & Zeng, Jianhua, 2020. "Fractional quantum couplers," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
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    1. Li, S.R. & Bao, Y.Y. & Liu, Y.H. & Xu, T.F., 2022. "Bright solitons in fractional coupler with spatially periodical modulated nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    2. Chen, Zhiming & Liu, Xiuye & Xie, Hongqiang & Zeng, Jianhua, 2024. "Three-dimensional Bose–Einstein gap solitons in optical lattices with fractional diffraction," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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