The evolution and transmission of one-order self-Fourier soliton mixed pairs signal in optical fibers is studied numerically. In terms of split-step Fourier transform method, the numerical solution of nonlinear Schrodinger equation is gotten. It is proved that there is not any theoretical error in the inner part of algorithm. The results show that: the interaction between one-order soliton and disturbing one-order soliton and stability of the solution to the initial value problem of the one-order soliton pairs depend on the different structure forms of initial input. The interaction in one-order self-Fourier soliton mixed pairs is different from one-order standard soliton mixed pairs. The interaction in one-order self-Fourier soliton mixed pairs is similar to two-order soliton or quasi-soliton. It is not enough to recognize and classify the characteristics of interaction between solitons according to the order of soliton.