Abstract
We investigate numerically and analytically interaction of dissipative optical solitons in active nonlinear fibers with Bragg grating. In the framework of the coupled mode theory, we analyze the effect of initial separation and phase difference between the pulses on the final solitons' characteristics. Beyond the framework of this approach, a number of new phenomena are studied, including location of centers of motionless solitons near the maxima of refractive index grating, the discreteness of moving solitons velocity and the existence of a motionless weakly coupled two-soliton structure.
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