The similarity of interactions between (3+1)D spatiotemporal optical solitons in both the dispersive medium with cubic-quintic nonlinearity and the saturable medium

Abstract

The similarity of interactions between (3+1)D spatiotemporal optical solitons in both the dispersive medium with cubic-quintic nonlinearity and the saturable medium * Peng Jin-Zhang(彭金璋) a)b) , Yang Hong(杨 红) a) , and Tang Yi(唐 翌) b)

Self-similar spatiotemporal solitary waves in Bessel—Hermite optical lattices

“…Up to now, a few selfsimilar nonlinear waves have been studied in nonlinear optics. [7−8] Correlative researches have been reported in higher dimensions, including the self-similar beam collapse, [9,10] the two-dimensional (2D) beam propagation, [11] and the self-similar soliton solutions in graded index media. [12] It is known that multi-dimensional solitons in Kerr-type focusing media are unstable against collapse, hence the search for suitable media for the creation of stable three-dimensional (3D) LBs remains an interesting topic.…”