244 citations · 633 across the 19 of their papers we have counts for
18 papers
Formation of nonlinear modes in one-dimensional quasiperiodic lattices with a mobility edge
Dmitry A. Zezyulin, Georgy L. Alfimov
We investigate the formation of steady states in one-dimensional Bose-Einstein condensates of repulsively interacting ultracold atoms loaded into a quasiperiodic potential created…
On non-existence of continuous families of stationary nonlinear modes for a class of complex potentials
Dmitry A. Zezyulin, Alexander O. Slobodyanyuk, Georgy L. Alfimov
There are two cases when the nonlinear Schrödinger equation (NLSE) with an external complex potential is well-known to support continuous families of localized stationary modes: th…
Symmetry breaking in competing single-well linear-nonlinear potentials
Dmitry A. Zezyulin, Mikhail E. Lebedev, Georgy L. Alfimov +1
The combination of linear and nonlinear potentials, both shaped as a single well, enables competition between the confinement and expulsion induced by the former and latter potenti…
Standing lattice solitons in the discrete NLS equation with saturation
G. L. Alfimov, A. S. Korobeinikov, C. J. Lustri +1
We consider standing lattice solitons for discrete nonlinear Schrodinger equation with saturation (NLSS), where so-called transparent points were recently discovered. These transpa…
Global search for localised modes in scalar and vector nonlinear Schrödinger-type equations
G. L. Alfimov, I. V. Barashenkov, A. P. Fedotov +2
We present a new approach for search of coexisting classes of localised modes admitted by the repulsive (defocusing) scalar or vector nonlinear Schrödinger-type equations. The appr…
Localized modes in the Gross-Pitaevskii equation with a parabolic trapping potential and a nonlinear lattice pseudopotential
G. L. Alfimov, L. A. Gegel, M. E. Lebedev +2
We study localized modes (LMs) of the one-dimensional Gross-Pitaevskii/nonlinear Schrödinger equation with a harmonic-oscillator (parabolic) confining potential, and a periodically…