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

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

Chaos, Solitons & Fractals, 2022, vol. 156, issue C

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.

Keywords: Gap solitons; Bloch waves; Fractional Schrödinger equation; Soliton stability; Lévy index (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000649

DOI: 10.1016/j.chaos.2022.111853

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