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Spectral singularities of odd--symmetric potential
Vladimir V. Konotop, Dmitry A. Zezyulin
We describe one-dimensional stationary scattering of a two-component wave field by a non-Hermitian matrix potential which features odd- symmetry, i.e., symmetry with $(PT)^2=-1…
Coherent perfect absorber and laser for nonlinear waves in optical waveguide arrays
Dmitry A. Zezyulin, Herwig Ott, Vladimir V. Konotop
A localized non-Hermitian potential can operate as a coherent perfect absorber or as a laser for nonlinear waves. The effect is illustrated for an array of optical waveguides, with…
Symmetry breaking in competing single-well linear-nonlinear potentials
Dmitry A. Zezyulin, Mikhail E. Lebedev, Georgy L. Alfimov +1
The combination of linear and nonlinear potentials, both shaped as a single well, enables competition between the confinement and expulsion induced by the former and latter potenti…
Global search for localised modes in scalar and vector nonlinear Schrödinger-type equations
G. L. Alfimov, I. V. Barashenkov, A. P. Fedotov +2
We present a new approach for search of coexisting classes of localised modes admitted by the repulsive (defocusing) scalar or vector nonlinear Schrödinger-type equations. The appr…
Coherent perfect absorption of nonlinear matter waves
Andreas Müllers, Bodhaditya Santra, Christian Baals +6
Coherent perfect absorption is the complete extinction of incoming radiation by a complex potential in a physical system supporting wave propagation. The concept was proven for lin…
Transverse instability of dark solitons in spin-orbit coupled polariton condensates
Dmitry A. Zezyulin, Yaroslav V. Kartashov
We consider dark solitons and their stability in spin-orbit coupled polariton condensates. The system supports spinor solitons of two types: conventional (symmetric) dark solitons…