Step wise algorithm for simulating wave propagation in bright solitons

Light propagation trough dispersive media was the object of intensive research. Split-step methods such as optical fibers based on Fourier transform were among the most interesting methods. This method shows well the interplay between the dispersion and nonlinear effects in the optical fiber. We provide here some results of the split-step Fourier method applied to the simulation of wave propagation in a dispersive medium.