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 stability is investigated in a numerical form via computation of eigenvalues for modes of small perturbations. Stability regions are thus identified in the parameter space of the system and verified in direct simulations. Collisions between stable dark solitons are briefly considered too. DOI: 10.1103/PhysRevA.87.013816
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CUNY, Dept Phys, Queens Coll, Queens, NY 11367 USA
CUNY, Grad Ctr, Phys Program, New York, NY 10016 USACUNY, Dept Phys, Queens Coll, Queens, NY 11367 USA
Miri, Mohammad-Ali
Cotrufo, Michele
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CUNY, Photon Initiat, Adv Sci Res Ctr, New York, NY 10031 USACUNY, Dept Phys, Queens Coll, Queens, NY 11367 USA
Cotrufo, Michele
Alu, Andrea
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CUNY, Grad Ctr, Phys Program, New York, NY 10016 USA
CUNY, Photon Initiat, Adv Sci Res Ctr, New York, NY 10031 USA
CUNY City Coll, Dept Elect Engn, New York, NY 10031 USA
Univ Texas Austin, Dept Elect & Comp Engn, Austin, TX 78712 USACUNY, Dept Phys, Queens Coll, Queens, NY 11367 USA
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Center for Nonlinear systems, Chennai Institute of Technology, Tamil Nadu, Chennai,600069, IndiaCenter for Nonlinear systems, Chennai Institute of Technology, Tamil Nadu, Chennai,600069, India
Sudharsan, J.B.
Chandrasekar, V.K.
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Department of Physics, centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA Deemed University, Tamil Nadu, Thanjavur,613401, IndiaCenter for Nonlinear systems, Chennai Institute of Technology, Tamil Nadu, Chennai,600069, India
Chandrasekar, V.K.
Manikandan, K.
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Center for Nonlinear systems, Chennai Institute of Technology, Tamil Nadu, Chennai,600069, IndiaCenter for Nonlinear systems, Chennai Institute of Technology, Tamil Nadu, Chennai,600069, India
Manikandan, K.
Aravinthan, D.
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Center for Nonlinear systems, Chennai Institute of Technology, Tamil Nadu, Chennai,600069, IndiaCenter for Nonlinear systems, Chennai Institute of Technology, Tamil Nadu, Chennai,600069, India
Aravinthan, D.
Saadhana, G.
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Department of Computer Science and Engineering, Chennai Institute of Technology, Tamil Nadu, Chennai,600069, IndiaCenter for Nonlinear systems, Chennai Institute of Technology, Tamil Nadu, Chennai,600069, India