It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the
baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant …

We consider a model for a two-dimensional kagome lattice with defocusing nonlinearity, and
show that families of localized discrete solitons may bifurcate from localized linear modes of …

We propose a realistic experimental setup for creating quasi-two-dimensional (2D) bright
solitons in dipolar Bose-Einstein condensates (BECs), the existence of which was proposed …

We report the emergence of a previously unexplored species of solitary waves, viz., time-
localized dark modes in integrable and nonintegrable variants of the massive Thirring model …

We investigate mobility regimes for localized modes in the discrete nonlinear Schrödinger
(DNLS) equation with the cubic-quintic on-site terms. Using the variational approximation …

We study the mobility of localized solutions in a nonlinear Lieb photonic lattice. We
characterize different families of nonlinear solutions looking for different regions of …

We study two-dimensional (2D) solitons in the mean-field models of ultracold gases with
long-range quadrupole-quadrupole interaction (QQI) between particles. The condensate is …

We investigate the interplay between two fundamentally different localization mechanisms in
discrete systems: dynamic localization, ie, resonant wave packet revivals in periodically …

We introduce a model for the condensate of dipolar atoms or molecules, in which the dipole-
dipole interaction (DDI) is periodically modulated in space due to a periodic change of the …

It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the
baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant …