38 citations · 94 across the 5 of their papers we have counts for
5 papers
Singular mean-field states: A brief review of recent results
Elad Shamriz, Zhaopin Chen, Boris A. Malomed +1
This article provides a focused review of recent findings which demonstrate, in some cases quite counter-intuitively, the existence of bound states with a singularity of the densit…
Stabilization of one-dimensional Townes solitons by spin-orbit coupling in a dual-core system
Elad Shamriz, Zhaopin Chen, Boris A. Malomed
It was recently demonstrated that two-dimensional Townes solitons (TSs) in two-component systems with cubic self-focusing, which are normally made unstable by the critical collapse…
Suppression of the quasi-two-dimensional quantum collapse in the attraction field by the Lee-Huang-Yang effect
Elad Shamriz, Zhaoping Chen, Boris A. Malomed
Quantum collapse in three and two dimensions (3D and 2D) is induced by attractive potential ~ -1/r^2. It was demonstrated that the mean-field (MF) cubic self-repulsion in the 3D bo…
Ring modes supported by concentrated cubic nonlinearity
Elad Shamriz, Boris A. Malomed
We consider the one-dimensional Schroedinger equation on a ring, with the cubic term, of either self-attractive or repulsive sign, confined to a narrow segment. This setting can be…
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…