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We introduce a system based on dual-core nonlinear waveguides with thebalanced gain and loss acting separately in the cores. The system features a"supersymmetry" when the gain and loss are equal to the inter-core coupling.This system admits a variety of exact solutions (we focus on solitons), whichare subject to a specific subexponential instability. We demonstrate that theapplication of a "management", in the form of periodic simultaneous switch ofthe sign of the gain, loss, and inter-coupling, effectively stabilizessolitons, without destroying the supersymmetry. The management turns thesolitons into attractors, for which an attraction basin is identified. Theinitial amplitude asymmetry and phase mismatch between the componentstransforms the solitons into quasi-stable breathers.

Stabilization of solitons in PT models with supersymmetry by periodic management