For the issue of the interaction of optical solitons, there have been many studies focusing on the interaction of fundamental solitons, but few is on the interaction of higher-order solitions. In this paper, the propagation of two neighboring second-order solitons in single-mode fiber is investigated with Split-step Fourier Algorithm. On the basis of summarizing the reported research results, some useful results were obtained.Under the influence of third-order dispersion, the interaction of second order solitons in dispersion-shifted fibers is investigated numerically. The characteristics of second order solitions split is studied in the time and frequency domain. It is found that under the influence of third-order dispersion, tow second order solitons are both split and apart from each other. But the frequency shift is decreased. A nonlinear gain and periodical alternation of third-order dispersion can be used to effectively suppress soliton interactions and the effects of third-order dispersion, and stabilize the soliton propagation.Temporal phase conjugation(TPC) was proposed to compensate for group-velocity dispersion, self-phase modulation, and intrapulse Raman scattering of an optical pulse. However, when the pulse width is sufficiently short or the center wavelength is near the zero-dispersion point, third-order dispersion becomes more prominent and limits the reshaping performance of TPC. We propose to use a spectral phase conjugation(SPC) method that conjugations of the optical pulse in the frequency domain. With this method dispersion of all orders, self-phase modulation, and self-steepening in a fiber are automatically compensated. A hybrid scheme combining SPC and nonlinear gain can offer superior performance. |