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arXiv · 1109.5759

Stability of solitons in PT-symmetric couplers

Rodislav Driben·Boris A. Malomed
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Abstract

Families of analytical solutions are found for symmetric and antisymmetric solitons in the dual-core system with the Kerr nonlinearity and PT-balanced gain and loss. The crucial issue is stability of the solitons. A stability region is obtained in an analytical form, and verified by simulations, for the PT-symmetric solitons. For the antisymmetric ones, the stability border is found in a numerical form. Moving solitons of both types collide elastically. The two soliton species merge into one in the "supersymmetric" case, with equal coefficients of the gain, loss and inter-core coupling. These solitons feature a subexponential instability, which may be suppressed by periodic switching ("management").

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Rodislav Driben, Boris A. Malomed. 2011-09-27. Stability of solitons in PT-symmetric couplers. https://doi.org/10.1364/ol.36.004323

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