1.2k citations · 10.6k across the 189 of their papers we have counts for
5 papers · 1 filter
On existence of dark solitons in cubic-quintic nonlinear Schrödinger equation with a periodic potential
Pedro J. Torres, Vladimir V. Konotop
A proof of existence of stationary dark soliton solutions of the cubic-quintic nonlinear Schrödinger equation with a periodic potential is given. It is based on the interpretation…
Localized modes in arrays of boson-fermion mixtures
Yu. V. Bludov, V. V. Konotop
It is shown that the mean-field description of a boson-fermion mixture with a dominating fermionic component, loaded in a one-dimensional optical lattice, is reduced to the nonline…
Stationary localized modes in the quintic nonlinear Schrodinger equation with a periodic potential
G. L. Alfimov, V. V. Konotop, P. Pacciani
We consider the localized modes (bright solitons) described by one-dimensional quintic nonlinear Schrodinger equation with a periodic potential. In the case of attractive nonlinear…
Nature of intrinsic relation between Bloch-band tunneling and modulational instability
V. A. Brazhnyi, V. V. Konotop, V. Kuzmiak
On examples of Bose-Einstein condensates embedded in two-dimensional optical lattices we show that in nonlinear periodic systems modulational instability and inter-band tunneling a…
Dark solitons as quasiparticles in trapped condensates
V. A. Brazhnyi, V. V. Konotop, L. P. Pitaevskii
We present a theory of dark soliton dynamics in trapped quasi-one-dimensional Bose-Einstein condensates, which is based on the local density approximation. The approach is applicab…