Discrete-ring vortex solitons

Anton S. Desyatnikov, Mark R. Dennis, Albert Ferrando

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish
Title of host publication2010 International Conference on Mathematical Methods in Electromagnetic Theory, MMET-10 - Conference Proceedings
DOIs
Publication statusPublished - Nov 29 2010
Externally publishedYes
Event2010 International Conference on Mathematical Methods in Electromagnetic Theory, MMET-10 - Kyiv, Ukraine
Duration: Sep 6 2010Sep 8 2010

Publication series

NameMathematical Methods in Electromagnetic Theory, MMET, Conference Proceedings

Other

Other2010 International Conference on Mathematical Methods in Electromagnetic Theory, MMET-10
CountryUkraine
CityKyiv
Period9/6/109/8/10

ASJC Scopus subject areas

  • Modelling and Simulation
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Discrete-ring vortex solitons'. Together they form a unique fingerprint.

Cite this