To suppress Gordon-Haus effect, the narrow filter is inserted into optical communication system, as a result of compensating for the filter loss, the excess linear gain amplifies linear waves coexistent with soliton trains. leading to instability of the background. If light intensity is strong enough, in fiber the nonlinear gain will be engendered, by use of the effect, it is not necessary to compensate for the filter loss. This paper have studied the optical soliton stable propagation in the fiber communication system with nonlinear gain circumstance in the case of introducing the soliton potential function in the theory aspect.