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Stable dark solitons in PT-symmetric dual-core waveguides
Bludov, Yuliy V.; Konotop, Vladimir V.; Malomed, B. A.We construct dark solitons in the recently introduced model of the nonlinear dual-core coupler with the mutually balanced gain and loss applied to the two cores,which is a realization of parity-time symmetry in nonlinear optics. The main issue is stability of the dark solitons. The modulational stability of the continuous-wave background, which supports the dark solitons, is studied analytically, and the full s...
Instabilities, solitons and rogue waves in PT-coupled nonlinear waveguides
Bludov, Yuliy V.; Driben, R.; Konotop, Vladimir V.; Malomed, B. A.We considered the modulational instability of continuous-wave backgrounds, and the related generation and evolution of deterministic rogue waves in the recently introduced parity–time (PT )-symmetric system of linearly coupled nonlinear Schr¨ odinger equations, which describes a Kerr-nonlinear optical coupler with mutually balanced gain and loss in its cores. Besides the linear coupling, the overlapping cores a...
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