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Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity
Y. V. Kartashov, B. A. Malomed, Y. Shnir +1
Toroidal modes in the form of so-called Hopfions, with two independent winding numbers, a hidden one (twist, s), which characterizes a circular vortex thread embedded into a three-…
Bose-Einstein condensates with localized spin-orbit coupling: soliton complexes and spinor dynamics
Yaroslav V. Kartashov, Vladimir V. Konotop, Dmitry A. Zezyulin
Spin-orbit (SO) coupling can be introduced in a Bose--Einstein condensate (BEC) as a gauge potential acting only in a localized spatial domain. Effect of such a SO "defect" can be…
Resonant mode conversion in the waveguides with an unbroken and broken PT-symmetry
Victor A. Vysloukh, Yaroslav V. Kartashov
We study resonant mode conversion in the PT-symmetric multimode waveguides, where symmetry breaking manifests itself in sequential destabilization (appearance of the complex eigenv…
Unbreakable PT-symmetry of solitons supported by inhomogeneous defocusing nonlinearity
Yaroslav V. Kartashov, Boris A. Malomed, Lluis Torner
We consider bright solitons supported by a symmetric inhomogeneous defocusing nonlinearity growing rapidly enough toward the periphery of the medium, combined with an antisymmetric…
PT-symmetry in optics beyond the paraxial approximation
Changming Huang, Fangwei Ye, Yaroslav V. Kartashov +2
The concept of the PT-symmetry, originating from the quantum field theory, has been intensively investigated in optics, stimulated by the similarity between the Schrödinger equatio…
Resonant Bloch-wave beatings
Yaroslav V. Kartashov, Victor A. Vysloukh, Lluis Torner
We introduce Bloch-wave beatings in arrays of multimode periodically bent waveguides with a transverse refractive index gradient. The new phenomenon manifests itself in the periodi…