Two-dimensional dissipative solitons supported by localized gain

Abstract

We show that the balance between localized gain and nonlinear cubic dissipation in the twodimensional nonlinear Schrodinger equation allows for existence of stable two-dimensional localized modes which we identify as solitons. Such modes exist only when the gain is strong enough and the energy flow exceeds certain threshold value. The observed solitons neither undergo diffractive spreading nor collapse. Above the critical value of the gain the symmetry breaking occurs and asymmetric dissipative solitons emerge.

4 pages, 5 figures, to appear in Optics Letters

Cited by in corpus (15)

• Solitons in a medium with linear dissipation and localized gain
• Quasi-compactons and bistability in exciton-polariton condensates
• Localized solutions of Lugiato-Lefever equations with focused pump
• Stable vortex solitons sustained by a localized gain in the cubic medium
• Stable two-dimensional solitons supported by radially inhomogeneous self-focusing nonlinearity
• Nonlinear Excitations, Stability Inversions and Dissipative Dynamics in Quasi-one-dimensional Polariton Condensates
• Solitons supported by localized parametric gain
• Fundamental and vortex dissipative quadratic solitons supported by spatially localized gain
• Dissipative quadratic solitons supported by a localized gain
• Topological light bullets supported by spatio-temporal gain
• Observation of gain-pinned dissipative solitons in a microcavity laser
• Soliton generation by counteracting gain-guiding and self-bending
• Existence and Stability of Dissipative Solitons in a Dual-Waveguide Lattice with Linear Gain and Nonlinear Losses
• Rotation-managed dissipative solitons
• Stabilization of Spatiotemporal Dissipative Solitons in Multimode Fiber Lasers by External Phase Modulation