49 citations · 60 across the 2 of their papers we have counts for
6 papers
Supercritical blowup in coupled parity-time-symmetric nonlinear Schrödinger equations
João-Paulo Dias, Mário Figueira, Vladimir V. Konotop +1
We prove finite time supercritical blowup in a parity-time-symmetric system of the two coupled nonlinear Schrödinger (NLS) equations. One of the equations contains gain and the oth…
Localized modes in media with $\PT$-symmetric localized potential
F. C. Moreira, F. Kh. Abdullaev, V. V. Konotop +1
We study the existence and stability of solitons in the quadratic nonlinear media with spatially localized -symmetric modulation of the linear refractive index. Families…
Superfluidity of Bose-Einstein condensates in toroidal traps with nonlinear lattices
A. V. Yulin, Yu. V. Bludov, V. V. Konotop +2
Superfluid properties of Bose-Einstein condensates (BEC) in toroidal quasi-one-dimensional traps are investigated in the presence of periodic scattering length modulations along th…
Linear and nonlinear Zeno effects in an optical coupler
F. Kh. Abdullaev, V. V. Konotop, V. S. Shchesnovich
It is shown that in a simple coupler where one of the waveguides is subject to controlled losses of the electric field, it is possible to observe optical analog of the linear and n…
Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity
V. A. Brazhnyi, V. V. Konotop, V. M. Pérez-García
We study defect modes of a Bose-Einstein condensate in an optical lattice with a localized defect within the framework of the one-dimensional Gross-Pitaevskii equation. It is shown…
Shock waves in one-dimensional Heisenberg ferromagnets
V. V. Konotop, M. Salerno, S. Takeno
We use SU(2) coherent state path integral formulation with the stationary phase approximation to investigate, both analytically and numerically, the existence of shock waves in the…