Robust propagation of two-color soliton clusters supported by competing nonlinearities.

We reveal numerically the remarkably robust propagation of quasistationary two-color soliton clusters in media with competing quadratic and cubic nonlinearities. We predict that such clusters carrying nonzero angular momentum can propagate over any practically feasible crystal length before they decay, even in the presence of input random perturbations.

Stability and formation of localized surface waves at the dielectric--photorefractive crystal boundary.

We consider specific features of the formation of localized surface waves at the interface between linear dielectric and photorefractive crystals with a nonlocal diffusion component of nonlinear response. Profiles of the surface waves are numerically found and guiding properties of the surface are investigated. Stability of the obtained surface waves is considered and it is shown that the well-known Vakhitov-Kolokolov stability criterion derived for the local Kerr or saturable material remains legible for the medium with a nonlocal diffusion component of nonlinear response.

Self-bending of the coupled spatial soliton pairs in a photorefractive medium with drift and diffusion nonlinearity.

The propagation of two incoherently coupled laser beams (coupled soliton pairs) in the photorefractive crystal with drift and diffusion components of nonlinear response is investigated. By the effective particles method we have shown that not only the well-known Manakov's soliton pairs but also asymmetric pairs can propagate undistorted in photorefractive crystal with diffusion nonlinearity along the parabolic trajectory for the definite relations of propagation constants. We numerically found the exact profiles of the specific multihump soliton solutions that are possible only in the photorefractive medium with nonlocal diffusion response.