6533b85bfe1ef96bd12bb383

RESEARCH PRODUCT

Discrete-ring vortex solitons

Albert FerrandoMark R. DennisAnton S. Desyatnikov

subject

PhysicsNonlinear systemsymbols.namesakeElectromagneticsClassical mechanicsBreathersymbolsNonlinear Sciences::Pattern Formation and SolitonsNonlinear Schrödinger equationTopological quantum numberNumerical stabilityVortexSchrödinger equation

description

We study analytically and numerically the existence and stability of discrete vortex solitons in the circular arrays of nonlinear optical waveguides, governed by the discrete nonlinear Schrodinger equation. Stable vortex breathers with periodically oscillating topological charge are identified and a continuous interpolating map is constructed which allows to recover trajectories of individual phase dislocations in the form of hyperbolic avoided crossings.

https://doi.org/10.1109/mmet.2010.5611414