中文摘要：

本文研究了变路径色散的孤子系统中的调制非稳性。首先采用微扰法对变路径色散的系统中的调制非稳性（MI）进行理论分析，解析出变路径色散系统中的MI特征根表达式，据此得到了色散管理孤子（DMS）系统的特征参数色散管理图强度与MI增益系数关系。研究结果表明，变路径色散系统中的色散管理强度大大影响MI增益的大小以及增益谱范围，而路径平均色散只影响MI增益谱范围。同时，本文结果还表明DMS较普通孤子系统有更强的抑制MI增益的能力。

英文摘要：

In the present paper, the Modulation Instability（MI） in varying line dispersion soliton system is studied. Firstly, the perturbational approach is applied to analyse the MI in varying dispersion system, and the characteristic value expression of MI is abtained. Then the relationship between the coefficient of MI gain and dispersion map strength, which is a characteristic parameter in dispersion managed soliton system, is obtained. The results show that dispersion map strength can greatly impact on the spectrum range and the size of MI gain, but the span variation range of averaged line dispersion can only affect the spectrum range of MI gain. At the same time, the results show that the DMS have more powerful ability than the common soliton to restrain MI gain in varying dispersion systems.