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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...
Superfluidity breakdown of periodic matter waves in quasi one-dimensional annul...
Yulin, Alex V.; Bludov, Yuliy V.; Konotop, Vladimir V.; Kuzmiak, Vladimir; Salerno, MarioWe investigate, both analytically and numerically, the quasisuperfluidity properties of periodic Bose-Einstein condensates (BECs) in a quasi-one-dimensional (1D) ring with optical lattices (OL) of different kinds (linear and nonlinear) and with a moving defect of an infinite mass inside. To study the dynamics of the condensate we used a mean-field approximation describing the condensate by use of the Gross-Pita...
Superfuidity of Bose-Einstein condensates in toroidal traps with nonlinear latt...
Yulin, Alex V.; Bludov, Yuliy V.; Konotop, Vladimir V.; Kuzmiak, Vladimir; Salerno, MarioSuperfluid properties of Bose-Einstein condensates (BEC) in toroidal quasi-one-dimensional traps are investigated in the presence of periodic scattering length modulations along the ring. The existence of several types of stable periodic waves, ranging from almost uniform to very fragmented chains of weakly interacting and equally spaced solitons, is demonstrated.We show that these waves may support persistent ...
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