TY - GEN
T1 - Discrete-ring vortex solitons
AU - Desyatnikov, Anton S.
AU - Dennis, Mark R.
AU - Ferrando, Albert
PY - 2010
Y1 - 2010
N2 - 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 Schrödinger 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.
AB - 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 Schrödinger 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.
UR - http://www.scopus.com/inward/record.url?scp=78649283653&partnerID=8YFLogxK
U2 - 10.1109/MMET.2010.5611414
DO - 10.1109/MMET.2010.5611414
M3 - Conference contribution
SN - 9781424488612
T3 - Mathematical Methods in Electromagnetic Theory, MMET, Conference Proceedings
BT - 2010 International Conference on Mathematical Methods in Electromagnetic Theory, MMET-10 - Conference Proceedings
T2 - 2010 International Conference on Mathematical Methods in Electromagnetic Theory, MMET-10
Y2 - 6 September 2010 through 8 September 2010
ER -