Spatiotemporal light bullets, breathers, and collapse in coherently driven passive nonlinear cavities with parabolic potentials

We unveil the existence of stable high-order dissipative spatiotemporal stationary solitons (i.e., light bullets) and breathers in the externally driven multimode nonlinear systems with a three-dimensional confining parabolic potential. Specifically, we focus on the externally driven multimode Kerr cavities. We show that the potential is responsible for stabilization of these three-dimensional states, and that it dictates their rich internal structure.