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.
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Schedule a callMore From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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