Dissipative vortex solitons in 2D-lattices

Abstract

We report the existence of stable symmetric vortex-type solutions for two-dimensional nonlinear discrete dissipative systems governed by a cubic-quintic complex Ginzburg-Landau equation. We construct a whole family of vortex solitons with a topological charge S = 1. Surprisingly, the dynamical evolution of unstable solutions of this family does not alter significantly their profile, instead their phase distribution completely changes. They transform into two-charges swirl-vortex solitons. We dynamically excite this novel structure showing its experimental feasibility.

4 pages, 20 figures

References in corpus (3)

• Observation of discrete vortex solitons in optically-induced photonic lattices
• Asymmetric vortex solitons in nonlinear periodic lattices
• Discrete soliton mobility in two-dimensional waveguide arrays with saturable nonlinearity

Cited by in corpus (7)

• Discrete solitons and scattering of lattice waves in guiding arrays with a nonlinear $\mathcal{P}\mathcal{T}$-symmetric defect
• Pinned modes in lossy lattices with local gain and nonlinearity
• Staggered $\mathcal{P}\mathcal{T}$-symmetric ladders with cubic nonlinearity
• Vortex solitons of the discrete Ginzburg-Landau Equation
• Pinned modes in two-dimensional lossy lattices with local gain and nonlinearity
• Beam steering and topological transformations driven by interactions between discrete vortex and fundamental solitons
• Mini-review: Spatial solitons supported by localized gain