Abstract: The interaction between one-order Self-Fourier soliton and one-order standard soliton signal in optical fibers is studied numerically. The methods used in this paper are split-step Fourier transform method. There is not any theoretical error in the inner part of algorithm in the method. The results show that: if the two solitons have the same one-order attribute and different amplitudes, third order dispersive effect induce the different time delay; The short range interaction of soliton further change group velocity of soliton. Solitons are accelerated according to their orientation.

Key words: fiber and waveguide optics, self-fourier soliton, split-step Fourier transform method, interaction