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Vortex solitons of the discrete Ginzburg-Landau equation

Journal Article · · Physical Review. A
; ; ;  [1]
  1. Instituto de Optica, C.S.I.C., Serrano 121, 28006 Madrid (Spain)

We have found several families of vortex soliton solutions in two-dimensional discrete dissipative systems governed by the cubic-quintic complex Ginzburg-Landau equation. There are symmetric and asymmetric solutions, and some of them have simultaneously two different topological charges for two different closed loops encircling, i.e., centered at, the singularity. Their regions of existence and stability are determined. Additionally, we have analyzed the relationship between dissipation and stability for a number of solutions, finding that dissipation favors the stability of the vortex soliton solutions.

OSTI ID:
21544723
Journal Information:
Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
Country of Publication:
United States
Language:
English