Abstract
In this thesis, we analyze the behavior of the Interaction of bound-state solitons in a two-color passive mode-locked fiber laser system by using numerical method. At first, we try to find the bound-state solutions of Complex Ginzburg-Landau equation (CGLE) model, such as single pulse, double-humps, and multi-humps. Second, based on those solutions, we add the other color of fiber laser into our simulation model which is linked by cross-phase modulation. For the following works, we assume the other color of fiber laser as a constant background potential which means it would not be changed in our simulation model. We set several types of background potential, such as using different amplitude or width of potential, stationary potential, moving potential, and periodical potential. Based on the result of phase-diagrams, we try to explain the behaviors of two-color passive mode-locked fiber laser system in different cases. We find out that the initial phase-difference plays an important role in this simulation model. And we conclude some properties of two-color system based on our results. Key Words: soliton, passive mode-locked fiber laser, bound-state