513 citations · 1.7k across the 38 of their papers we have counts for
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Asymmetric solitons and domain walls supported by inhomogeneous defocusing nonlinearity
Yaroslav V. Kartashov, Valery E. Lobanov, Boris A. Malomed +1
We show that an inhomogeneous defocusing nonlinearity that grows toward the periphery in the positive and negative transverse directions at different rates can support strongly asy…
Soliton generation by counteracting gain-guiding and self-bending
Valery E. Lobanov, Yaroslav V. Kartashov, Victor A. Vysloukh +1
We introduce a new concept for stable spatial soliton formation, mediated by the competition between self-bending induced by a strongly asymmetric nonlocal nonlinearity and spatial…
Anderson localization in Bragg-guiding arrays with negative defects
Valery E. Lobanov, Yaroslav V. Kartashov, Victor A. Vysloukh +1
We show that Anderson localization is possible in waveguide arrays with periodically-spaced defect waveguides having lower refractive index. Such localization is mediated by Bragg…
Stable bright and vortex solitons in photonic crystal fibers with inhomogeneous defocusing nonlinearity
Valery E. Lobanov, Olga V. Borovkova, Yaroslav V. Kartashov +2
We predict that a photonic crystal fiber whose strands are filled with a defocusing nonlinear medium can support stable bright and also vortex solitons if the strength of the defoc…
Solitons supported by singular spatial modulation of the Kerr nonlinearity
Olga V. Borovkova, Valery E. Lobanov, Boris A. Malomed
We introduce a setting based on the one-dimensional (1D) nonlinear Schroedinger equation (NLSE) with the self-focusing (SF) cubic term modulated by a singular function of the coord…
Vortex soliton tori with multiple nested phase singularities in dissipative media
Olga V. Borovkova, Valery E. Lobanov, Yaroslav V. Kartashov +1
We show the existence of stable two- and three-dimensional vortex solitons carrying multiple, spatially separated, single-charge topological dislocations nested around a vortex-rin…
Solitons supported by spatially inhomogeneous nonlinear losses
Olga V. Borovkova, Yaroslav V. Kartashov, Victor A. Vysloukh +3
We uncover that, in contrast to the common belief, stable dissipative solitons exist in media with uniform gain in the presence of nonuniform cubic losses, whose local strength gro…
Topological light bullets supported by spatio-temporal gain
Valery E. Lobanov, Olga. V. Borovkova, Yaroslav V. Kartashov +2
We reveal that the competition between diffraction, cubic nonlinearity, two-photon absorption, and gain localized in both space and time results in arrest of collapse, suppression…