7.5k citations
- Weizmann Institute of ScienceIL47 papers
- Centre National de la Recherche ScientifiqueFR40 papers
- Massachusetts Institute of TechnologyUS39 papers
- University of California, BerkeleyUS38 papers
- University of Maryland, College ParkUS37 papers
- California Institute of TechnologyUS34 papers
- Pennsylvania State UniversityUS32 papers
- Technion – Israel Institute of TechnologyIL32 papers
- Princeton UniversityUS31 papers
- CEA Paris-SaclayFR26 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR26 papers
- Heidelberg UniversityDE26 papers
33 papers · 1 filter
Localization and delocalization of two-dimensional discrete solitons pinned to linear and nonlinear defects
Valeriy A. Brazhnyi, Boris A. Malomed
We study the dynamics of two-dimensional (2D) localized modes in the nonlinear lattice described by the discrete nonlinear Schrödinger (DNLS) equation, including a local linear or…
Stabilization and destabilization of second-order solitons against perturbations in the nonlinear Schrödinger equation
H. Yanay, L. Khaykovich, B. A. Malomed
We consider splitting and stabilization of second-order solitons (2-soliton breathers) in a model based on the nonlinear Schrödinger equation (NLSE), which includes a small quintic…
Stabilization of two-dimensional solitons and vortices against supercritical collapse by lattice potentials
Rodislav Driben, Boris A. Malomed
It is known that optical-lattice (OL) potentials can stabilize solitons and solitary vortices against the critical collapse, generated by the cubic attractive nonlinearity in the 2…
Pattern selection in parametrically-driven arrays of nonlinear resonators
Eyal Kenig, Ron Lifshitz, M. C. Cross
We study the problem of pattern selection in an array of parametrically-driven nonlinear resonators with application to microelectromechanical and nanoelectromechanical systems (ME…
Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons
Y. Sivan, G. Fibich, B. Ilan +1
We present a unified approach for qualitative and quantitative analysis of stability and instability dynamics of positive bright solitons in multi-dimensional focusing nonlinear me…
Two-Component Nonlinear Schrodinger Models with a Double-Well Potential
C. Wang, P. G. Kevrekidis, N. Whitaker +1
We introduce a model motivated by studies of Bose-Einstein condensates (BECs) trapped in double-well potentials. We assume that a mixture of two hyperfine states of the same atomic…