2011/02/04 by Cristian Mejía-Cortés, C. Mejía-Cortés, J. M. Soto‐Crespo +3 · 16 citations
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Computer science #Dissipation #Dissipative soliton #Dissipative system #Ginzburg–Landau theory #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Quantum mechanics #Quintic function #Soliton #Stability (learning theory) #Vortex #physics.optics
paper · pdf · doi:10.1103/physreva.83.043837
published in Physical Review A 83(4) (American Physical Society) · 7 pages, 11 figures
arxiv created 2011/02/04 · openalex publication_date 2011/04/29 · arxiv updated 2015/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.