Stabilization of solitons in PT models with supersymmetry by periodic management

R. Driben*, B. A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We introduce a system based on dual-core nonlinear waveguides with the balanced 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), which are subject to a specific subexponential instability. We demonstrate that the application of a "management", in the form of periodic simultaneous switch of the sign of the gain, loss, and inter-core coupling, effectively stabilizes solitons, without destroying the supersymmetry. The management turns the solitons into attractors, for which an attraction basin is identified. The initial amplitude asymmetry and phase mismatch between the components transforms the solitons into quasi-stable breathers.

Original languageEnglish
Article number51001
JournalJournal de Physique (Paris), Lettres
Issue number5
StatePublished - Dec 2011


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