Stable dark solitons in PT-symmetric dual-core waveguides

Yu V. Bludov*, V. V. Konotop, B. A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

106 Scopus citations

Abstract

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.

Original languageEnglish
Article number013816
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume87
Issue number1
DOIs
StatePublished - 17 Jan 2013

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