Dynamics of two-dimensional multi-peak solitons based on the fractional Schrödinger equation
Keyword(s):
We address the propagation dynamics of two-dimensional multi-peak solitons in the optical lattices based on the fractional Schrödinger equation. The effect of Lévy index and lattice depth on the band-gap structure of optical lattices are presented. Two-, three-, four-, six- and eight-peak solitons all can exist in the first gap and be stable in a wide region of their existence domain. The effective width, maximal peak value and the power of soliton are also studied. It indicates that the Lévy index plays a significant role on the properties of solitons.
2019 ◽
Vol 136
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pp. 257-278
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2019 ◽
Vol 28
(02)
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pp. 1950021
2018 ◽
Vol 86
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pp. 103-110
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