Improved Fast Inverse Nonlinear Fourier Transform for Multi-solitons: A Discrete Darboux Based Approach

The relation between the input of an ideal optical single-mode fiber and the corresponding fiber output constitutes a nonlinear system that can be described using the nonlinear Schrödinger equation. This nonlinear system has the interesting property that it can be solved analytically using nonlinear Fourier transforms. To utilize this property,...