We present a theoretically study on the timing jitter induced by the interaction between solitons propagating in two wavelength separated channels of a long-haul fiber transmission system. We show that the inclusion of in-line filters almost suppresses the arrival time jitter even when the collision length is on the order of the amplifier spacing. Numerical results obtained by simulating a real N×5 Gb/s wavelength division multiplexed system confirm the theoretical predictions. The benefit deriving from the inclusion of in-line filters is maximum for transmission distances on the order of 4000 km, whereas on the transoceanic distance scale (9000 km) the improvement is limited by the incomplete suppression of the soliton frequency shift occurring during collisions.
