Solitons propagation dynamics in a saturable PT-symmetric fractional medium

In the current research, the propagation of solitons in a saturable PT-symmetric fractional system is studied by solving nonlinear fractional Schrödinger equation. Three numerical methods are employed for this purpose, namely Monte Carlo based Euler–Lagrange variational schema, split-step method, an...

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Bibliographic Details
Published in:Physica scripta 2021-12, Vol.96 (12), p.125531
Main Authors: Haji Taghi Tehrani, D, Solaimani, M, Ghalandari, Mahboubeh, Babayar-Razlighi, B
Format: Article
Language:English
Subjects:
extrapolation approach
fractional schrodinger equation
Monte Carlo based euler-lagrange variational schema
PT-symmetric saturable medium
solitons propagation
split-step method
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Summary:In the current research, the propagation of solitons in a saturable PT-symmetric fractional system is studied by solving nonlinear fractional Schrödinger equation. Three numerical methods are employed for this purpose, namely Monte Carlo based Euler–Lagrange variational schema, split-step method, and extrapolation approach. The results show good agreement and accuracy. The effect of different parameters such as potential depth, Levy indices, and saturation parameter, on the physical properties of the systems such as maximum intensity and soliton width oscillations are considered.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ac3c5e