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We report several major theoretical steps towards realizing stablelong-distance multichannel soliton transmission in Kerr nonlinear waveguideloops. We find that transmission destabilization in a single waveguide iscaused by resonant formation of radiative sidebands and investigate thepossibility to increase transmission stability by optimization with respect tothe Kerr nonlinearity coefficient $\gamma$. Moreover, we develop a generalmethod for transmission stabilization, based on frequency dependent lineargain-loss in Kerr nonlinear waveguide couplers, and implement it in two-channeland three-channel transmission. We show that the introduction of frequencydependent loss leads to significant enhancement of transmission stability evenfor non-optimal $\gamma$ values via decay of radiative sidebands, which takesplace as a dynamic phase transition. For waveguide couplers with frequencydependent linear gain-loss, we observe stable oscillations of solitonamplitudes due to decay and regeneration of the radiative sidebands.

Stabilizing soliton-based multichannel transmission with frequency dependent linear gain-loss