This lecture covers the split-step Fourier method to solve the Nonlinear Schrödinger Equation (NLSE) in the context of nonlinear fiber optics. It discusses the generalized NLSE valid for few optical cycles, including terms like loss, dispersion, self-steepening, and phenomena like SPM, FWM, and Raman scattering. The lecture also explains the numerical method of split-step Fourier, which approximates the combined effects of dispersion and nonlinearity during pulse propagation. It details the improved accuracy of the method by including nonlinearity in the middle of the segment, known as symmetrised SSFM.