V. Skarka et al., SPATIOTEMPORAL SOLITON PROPAGATION IN SATURATING NONLINEAR-OPTICAL MEDIA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(1), 1997, pp. 1080-1087
The simultaneous balance of nonlinear spatial self-focusing with diffr
action and the compensation of dispersion with nonlinear temporal self
-focusing, in a saturating nonlinear medium, give stable spatiotempora
l solitons, or ''light bullets.'' An analytical approach for arbitrary
saturating nonlinearity is established in order to investigate the dy
namics of such light bullets. This approach is applied to nonlinear ma
terials with negative fourth-order optical index. The analytically pre
dicted exceptional robustness of light bullets that can be generated i
n a large range of parameters is confirmed by numerical simulations.