76 citations · 190 across the 6 of their papers we have counts for
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Surface modes and breathers in finite arrays of nonlinear waveguides
Yu. V. Bludov, V. V. Konotop
We present the complete set of symmetric and antisymmetric (edge and corner) surface modes in finite one-- and two--dimensional arrays of waveguides. We provide classification of t…
Generalized Neighbor-Interaction Models Induced by Nonlinear Lattices
F. Kh. Abdullaev, Yu. V. Bludov, S. V. Dmitriev +2
It is shown that the tight-binding approximation of the nonlinear Schrödinger equation with a periodic linear potential and periodic in space nonlinearity coefficient gives rise to…
Delocalizing transition in one-dimensional condensates in optical lattices due to inhomogeneous interactions
Yu. V. Bludov, V. A. Brazhnyi, V. V. Konotop
It is shown that inhomogeneous nonlinear interactions in a Bose-Einstein condensate loaded in an optical lattice can result in delocalizing transition in one dimension, what sharpl…
Acceleration and localization of matter in a ring trap
Yu. V. Bludov, V. V. Konotop
A toroidal trap combined with external time-dependent electric field can be used for implementing different dynamical regimes of matter waves. In particular, we show that dynamical…