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Stability of solitons in $\mathcal{PT} $-symmetric nonlinear potentials

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Nonlinear modes in a generalized &$mathcal{PT}$;-symmetric discrete nonlinear Schrödinger equation

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\chem{\mathcal {P}\mathcal {T}} -symmetric lattices with spatially extended gain/loss are generically unstable

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&$mathcal {PT}$;-symmetric optical superlattices

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