首页|Families of fundamental solitons in the two-dimensional superlattices based on the fractional Schrodinger equation
Families of fundamental solitons in the two-dimensional superlattices based on the fractional Schrodinger equation
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NSTL
Elsevier
We investigate the existence and stability of fundamental solitons in the optical superlattices with self defocusing and self-focusing nonlinearity based on the fractional Schrodinger equation. With the self-defocusing nonlinearity, fundamental solitons exist in the first gap, and the stability of solitons is in accordance with the anti-Vakhitov-Kolokolov criterion. However, for the self-focusing nonlinearity, the fundamental solitons exist in the semi-infinite gap, and the stability of solitons is in accordance with the Vakhitov-Kolokolov criterion. Moreover, the power, integral form factor, and peak value of fundamental solitons versus propagation constant, Levy index, and relative strength of superlattice are illustrated. It is necessary to mention that the soliton becomes more and more localized by decreasing the Levy index in both self-defocusing and self-focusing media. It is due to the fact that small Levy index leads to weak diffraction. It should be pointed that the solitons can also exist with alpha < 1.
NSTL
Elsevier
