246 citations · 640 across the 14 of their papers we have counts for
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Solitons in PT-symmetric ladders of optical waveguides
N V Alexeeva, I V Barashenkov, Y S Kivshar
We consider a PT-symmetric ladder-shaped optical array consisting of a chain of waveguides with gain coupled to a parallel chain of waveguides with loss. All waveguides have the fo…
Optical solitons in -symmetric nonlinear couplers with gain and loss
N. V. Alexeeva, I. V. Barashenkov, Andrey A. Sukhorukov +1
We study spatial and temporal solitons in the symmetric coupler with gain in one waveguide and loss in the other. Stability properties of the high- and low-frequency…
Anisotropic Subdiffractive Solitons
Ramon Herrero, I. V. Barashenkov, N. V. Alexeeva +1
We study solitons in the two-dimensional defocusing nonlinear Schroedinger equation with the spatio-temporal modulation of the external potential. The spatial modulation is due to…
Stabilization mechanism for two-dimensional solitons in nonlinear parametric resonance
N. V. Alexeeva
We consider a simple model system supporting stable solitons in two dimensions. The system is the parametrically driven damped nonlinear Schrödinger equation, and the soliton stabi…
Nodal two-dimensional solitons in nonlinear parametric resonance
N. V. Alexeeva, E. V. Zemlyanaya
The parametrically driven damped nonlinear Schrödinger equation serves as an amplitude equation for a variety of resonantly forced oscillatory systems on the plane. In this note, w…
Two and three-dimensional oscillons in nonlinear Faraday resonance
I. V. Barashenkov, N. V. Alexeeva, E. V. Zemlyanaya
We study 2D and 3D localised oscillating patterns in a simple model system exhibiting nonlinear Faraday resonance. The corresponding amplitude equation is shown to have exact solit…