Effects of Correlations Among Multiple Perturbations on Soliton Propagation

Correlations among multiple noise perturbations are considered in a soliton system. It is found that these perturbations lead to disintegration of soliton, their correlations play important roles and reinforce their effects. Furthermore, there is a limiting case among the multiple noise perturbations in the system, here their effect is the largest. Finally the nonlinear gain and the narrow band filter are introduced to suppress these effects effectively.