TY - JOUR
T1 - Stable dark solitons in PT-symmetric dual-core waveguides
AU - Bludov, Yu V.
AU - Konotop, V. V.
AU - Malomed, B. A.
PY - 2013/1/17
Y1 - 2013/1/17
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84872718816&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.87.013816
DO - 10.1103/PhysRevA.87.013816
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AN - SCOPUS:84872718816
SN - 1050-2947
VL - 87
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 013816
ER -