Fourier Split Step Method

Matlab functions for solving nonlinear fractional Schrödinger equation (NLFSE) in 1 and 2 dimensions.

File Structure

Evaluation1D

• Evaluation1D.m: function for solving 1D NLFSE
• Reflection.mlx: example of Evaluation1D.m in MATLAB live script
• Reflection.ipynb: same as Reflection.mlx but as jupyter notebook

Evaluation2D

• Evaluation2D.m: function for solving 2D NLFSE
• DoubleSlit.mlx: example of Evaluation1D.m in MATLAB live script
• DoubleSlit.ipynb: same as Reflection.mlx but as jupyter notebook
• Evaluation.avi: result of DoubleSlit.mlx, as a video file

Usage

Look at example files (.mlx/.ipynb).

No citation is needed!

You might, however, find one of my papers that uses this method interesting:

1. Effects of the medium fractionality and oscillating potential profiles on the Superarrivals of the Gaussian wave packets
2. Interference Phenomenon in the Wavepacket-Triangular Prism Collision in Fractional Schrodinger Equation
3. Fractionality-induced deformation in Airy and Hermit-Gaussian wavepackets traveling through the Gaussian wells
4. Soliton propagation through three types of Fibonacci-ordered photonic multilayers in the fractional medium
5. Solitons propagation dynamics in a saturable PT-symmetric fractional medium

2025 Davood Haji Taghi Tehrani 
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