These functions are derived intuitively from the solutions of the nonlinear Schrödinger equation in the anomalous and normal dispersion regimes in a similar fashion to the way that the Morlet and the Mexican hat are derived.
These functions are intuitively extracted from the solutions of the nonlinear Schrödinger equation in both anomalous and normal dispersion scenarios, akin to how the Morlet wavelet and Mexican hat wavelet are generated.