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Interchannel soliton collisions in periodic dispersion maps in the presence of third order dispersion with loss and amplification

We study the effects of third-order dispersion in wavelength division multiplexed soliton transmission systems using periodic dispersion maps. For this purpose, loss and lumped amplification have been included in a previous ODE model obtained using the variational method and a Gaussian ansatz. We present a detailed analysis of how TOD affects the collision-induced frequency shifts of the transmitted pulses.