Nonlinear Airy Light Bullets in a 3D Self-Defocusing Medium

AbstractThe (3+1)dimensional [(3+1)D] nonlinear Schrdinger (NLS) equation is investigated, describing the propagation of nonlinear spatiotemporal wave packets in a selfdefocusing medium, and a new type of Airy spatiotemporal solutions is presented. By using the reductive perturbation method, the (3+1)D NLS equation is reduced to the spherical Kortewegde Vries (SKdV) equation. Based on the Hirota's bilinear method, the bilinear form of the SKdV equation is constructed and Airy light bullet (LB) solutions of different orders are obtained, which depend on the sets of two free constants associated with the amplitude and initial phase. The results show that these Airy LBs can exist in the selfdefocusing medium and their intensities can be controlled by selecting the suitable free parameters along the propagation distance. As examples, three types of loworder approximate LB solutions are presented and their intensity profiles numerically discussed. The obtained results are helpful in exploring nonlinear phenomena in a selfdefocusing medium and providing a new approach for possible experimental verification of LBs.

Nonlinear Airy Light Bullets in a 3D Self-Defocusing Medium Academic Article