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Integrability of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric dimers
The coupled discrete linear and Kerr nonlinear Schr\"odinger equations with gain and loss describing transport on dimers with parity-time ($\mathcal{PT}$)-symmetric potentials are considered. The model is relevant among others to experiments in optical couplers and proposals on Bose-Einstein condensates in $\mathcal{PT}$-symmetric double-well potentials. It is known that the models are …