Stability analysis of Bragg solitons in the fiber Bragg grating

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 coupled-mode 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.