We introduce a model in which completely stable propagation of dispersion-managed (DM) solitons is provided by periodic coupling of the system fiber’s core to short segments of a parallel lossy core. Considering the model in the distributed approximation, we identified a vast stability domain in its parameter space. We also obtained a set of DM-strength–power characteristics for stable solitons at fixed values of the DM period. We found that, as for the filtered single-core DM model, stable transmission of the solitons is possible at virtually all the values of the DM strength, whereas the normalized peak power of the pulse must exceed a certain minimum value. Close to this minimum, we found a stable transmission regime with moderate values of the DM strength, and a DM period of approximately 1.5–2 soliton periods (defined as for the homogeneous fiber), which may be promising for reducing soliton–soliton interactions. We also found cases in which the soliton transmission remained stable in the corresponding strongly discrete (lumped) model as well as at normal average dispersion.
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