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Metastable soliton necklaces confined by the boundary of a flattop region
Dmitry A. Zezyulin
We present quasistationary ring-shaped soliton necklaces in a two-component envelope propagating in a medium with competing cubic-quintic nonlinearity. Metastable propagation of so…
Double-flat-top half-vortices and self-bound solitary wave billiards in cubic-quintic media with intermodal attraction
Dmitry A. Zezyulin
We consider a bimodal light field envelope propagating in a bulk medium characterized by competing cubic and quintic nonlinearities. The subfields are coupled by a cross-phase modu…
Localized Floquet modes in arrays of out-of-phase curved waveguides with a quasiperiodic modulation
Yaroslav V. Kartashov, Dmitry A. Zezyulin
We study light propagation in an array of periodically curved waveguides consisting of pairs of waveguides with out-of-phase oscillations of waveguide centers. We compute the corre…
Stability restoration by asymmetric nonlinear states in non-Hermitian double-well potentials
Dmitry A. Zezyulin
We introduce a class of one-dimensional complex optical potentials that feature a nonlinearity-induced stability restoration, i.e., the existence of stable nonlinear modes propagat…
Continuous families of non-Hermitian surface solitons
Dmitry A. Zezyulin
We show that surface solitons form continuous families in one-dimensional complex optical potentials of a certain shape. This result is illustrated by non-Hermitian gap-surface sol…
Superexponential amplification, power blowup, and solitons sustained by non-Hermitian gauge potentials
Dmitry A. Zezyulin, Yaroslav V. Kartashov, Vladimir V. Konotop
We introduce a continuous one-dimensional non-Hermitian matrix gauge potential and study its effect on dynamics of a two-component field. The model is emulated by a system of evane…