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In this paper, by solving a complex nonlinear Schr¨odinger equation, radially symmetric dissipative vortex solitons are obtained analytically and are tested numerically. We find that spatially inhomogeneous nonlinear absorption gives rise to the stability of dissipative vortex solitons in self-defocusing nonlinear medium in the presence of constant linear gain. Numerical simulation reveals the interaction effect among linear gain and nonlinear loss in the azimuthal modulation instabilities of these vortices suppression. Apart from the uniform linear gain indeed affects the stability of vortex in this media, another noticeable feature of current setup is that the steep spatial modulation of the nonlinear absorption can suppress sidelobes effectively and support stable vortex solitons in situations with uniform linear gain.Under appropriate conditions, the vortex solitons can propagate stably and feature no symmetry breaking, although the beams exhibit radical compression and amplification as they propagate. 相似文献
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We explore the nonlinear gain coupled Schr?dinger system through the utilization of the variables separation method and ansatz technique. By employing these approaches, we generate hierarchies of explicit dissipative vector vortices(DVVs) that possess diverse vorticity values. Numerous fundamental characteristics of the DVVs are examined, encompassing amplitude profiles, energy fluxes, parameter effects, as well as linear and dynamic stability. 相似文献
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