布喇格孤子是光纤布喇格光栅的非线性效应和色散效应综合作用的结果，揭示了重要的物理现象，在基于光纤缓存器件中具有重要应用。从非线性耦合模方程出发给出了布喇格孤子的解析解，以它们作为初始条件，数值研究了布喇格孤子传输的稳定性，得到布喇格孤子传输的稳定传输区、多振荡模式区和散射区。数值模拟了布喇格孤子在多振荡模式区和散射区的传输变化。对于设计新型器件和开展实验工作提供了有益的指导。

Bragg solitons are formed by the balance between the nonlinear effect and dispersion in the fiber Bragg grating,which reveals some important physical phenomena and offers its application in the optical buffer. Based on the nonlinear coupledmode equations,the analytical solution of Bragg solitons is given. With the analytical solution as an initial condition,the stability of Bragg solitons in the fiber Bragg grating is numerically investigated. There are three transmission modes of Bragg solitons,such as stable mode,multiple vibrating mode and scattering mode. The evolutions of Bragg solitons in the multiple vibrating mode and scattering mode are analyzed. This research gives some valuable results for novel device design and related experiments.