75 citations · 272 across the 8 of their papers we have counts for
10 papers
Stability of solitons in time-modulated two-dimensional lattices
Nir Dror, Boris A. Malomed
We develop stability analysis for matter-wave solitons in a two-dimensional (2D) Bose-Einstein condensate loaded in an optical lattice (OL), to which periodic time modulation is ap…
Single and double linear and nonlinear flatband chains: spectra and modes
Krzysztof B. Zegadlo, Nir Dror, Nguyen Viet Hung +2
We report results of systematic analysis of various modes in the flatband lattice, based on the diamond-chain model with the on-site cubic nonlinearity, and its double version with…
Spontaneous symmetry breaking in a split potential box
Elad Shamriz, Nir Dror, Boris A. Malomed
We report results of the analysis of the spontaneous symmetry breaking (SSB) in the basic (actually, simplest) model which is capable to produce the SSB phenomenology in the one-di…
Spontaneous symmetry breaking of self-trapped and leaky modes in quasi-double-well potentials
Krzysztof B. Zegadlo, Nir Dror, Marek Trippenbach +2
We investigate competition between two phase transitions of the second kind induced by the self-attractive nonlinearity, viz., self-trapping of the leaky modes, and spontaneous sym…
Solitons and vortices in nonlinear potential wells
Nir Dror, Boris A. Malomed
We consider self-trapping of topological modes governed by the one- and two-dimensional (1D and 2D) nonlinear-Schrodinger/Gross-Pitaevskii equation with effective single- and doubl…
Multipoles and vortex multiplets in multidimensional media with inhomogeneous defocusing nonlinearity
Rodislav Driben, Nir Dror, Boris Malomed +1
We predict a variety of composite quiescent and spinning two- and three-dimensional (2D and 3D) self-trapped modes in media with a repulsive nonlinearity whose local strength grows…
Holding spatial solitons in a pumped cavity with the help of nonlinear potentials
Or Maor, Nir Dror, Boris A. Malomed
We introduce a one-dimensional model of a cavity with the Kerr nonlinearity and saturated gain, designed so as to keep solitons in the state of shuttle motion. The solitons are alw…
Domain walls and vortices in linearly coupled systems
Nir Dror, Boris A. Malomed, Jianhua Zeng
We investigate 1D and 2D radial domain-wall (DW) states in the system of two nonlinear-Schrödinger/Gross-Pitaevskii equations, which are coupled by the linear mixing and by the non…
Solitons supported by localized nonlinearities in periodic media
Nir Dror, Boris A. Malomed
Nonlinear periodic systems, such as photonic crystals and Bose-Einstein condensates (BECs) loaded into optical lattices, are often described by the nonlinear Schrödinger/Gross-Pita…
Symmetric and asymmetric solitons and vortices in linearly coupled two-dimensional waveguides with the cubic-quintic nonlinearity
Nir Dror, Boris A. Malomed
It is well known that the two-dimensional (2D) nonlinear Schrödinger equation (NLSE) with the cubic-quintic (CQ) nonlinearity supports a family of stable fundamental solitons, as w…