Robust propagation of optical vortex beams, necklace-ring solitons, soliton clusters and uniform-ring beams generated in the frame of the higher-order (3 + 1)-dimensional cubic–quintic–septic complex Ginzburg–Landau equation

Abstract

Abstract We have demonstrated numerically that new families of spatiotemporal dissipative optical bullets, including self-trapped, necklace-ring, ring-vortex solitons, uniform-ring beams, spherical and rhombic distributions of light bullets, and fundamental and cluster solitons, are possible in the higher-order (3 + 1)-dimensional cubic–quintic–septic complex Ginzburg–Landau equation with higher-order effects such as stimulated Raman scattering, self-steepening and third-, fourth-, fifth- and sixth-order dispersion terms. These solutions remain localized and can be self-trapped over a huge propagation distance, even in the presence of random perturbations, due to the combined influence of dispersion, diffraction, gain, loss, spectral filtering, the Raman effect and cubic–quintic–septic nonlinearities.