We discuss the properties of composite (or vector) spatial optical solitons created by the incoherent interaction of two optical beams and associated with higher-order modes guided by a soliton-induced waveguide in a bulk medium. Such stationary (2 1 1)-dimensional self-trapped localized structures include, in particular, vortexand dipole-mode vector solitons and also incorporate higher-order m...

The unique bending and shape-preserving properties of optical Airy beams offer a large range of applications in for example beam routing, optical waveguiding, particle manipulation and plasmonics. In these applications and others, the Airy beam may experience nonlinear light-matter interactions which in turn modify the Airy beam properties and propagation. A well-known example is light self-foc...

In this paper, we extend the Petviashvili method (PM) to fractional nonlinear Schrödinger equation (fNLSE) for construction and analysis of its soliton solutions. We also investigate temporal dynamics stabilities solutions fNLSE by implementing a spectral method, in which fractional-order derivatives are computed using FFT (Fast Fourier Transform) routines, time integration is performed 4th ord...

We study, both theoretically and experimentally, the scattering properties of optical dipole-mode vector solitons-radially asymmetric composite self-trapped optical beams. First, we analyze the soliton collisions in an isotropic two-component model with a saturable nonlinearity, and demonstrate that in many cases the scattering dynamics of the dipole-mode solitons allows us to classify them as ...

We investigate the effects of diffusion on the evolution of steady-state dark and gray spatial solitons in biased photorefractive media. Numerical integration of the nonlinear propagation equation shows that the soliton beams experience a modification of their initial trajectory, as well as a variation of their minimum intensity. This process is further studied using perturbation analysis, whic...

We study the conditions for soliton-like wave propagation in the Photorefractive (PR) and electro-optic (i.e., Pockels) material, by using Nonlinear Schrodinger (NLS) equation. The complete NLS equation is solved analytically and numerically by transforming it into the phase space. Our results clearly show the existence of both the dark and bright solitary solutions for the PR medium. Interesti...

Partially coherent solitons are objects which have recently attracted a great deal of attention @1–10#. Focusing of the spatially partially coherent beams has been suggested as early as in 1967 @11# and studied subsequently in @12,13#. On the other hand, temporally incoherent solitons have been considered in the original works of Hasegawa @14–16#, both for plasma waves and for nonlinear pulses ...

The possibility of using spatial solitary waves for implementation of optical logic and switching has led to a number of experimental and theoretical investigations of the interactions between spatial solitons.1–8 An extensive discussion of geometrical and material alternatives for implementing optical soliton switches was given in Ref. 9. Initial experimental work in this area centered on Kerr...

We demonstrate that optical discrete solitons are possible in appropriately oriented biased photorefractive crystals. This can be accomplished in optically induced periodic waveguide lattices that are created via plane-wave interference. Our method paves the way towards the observation of entirely new families of discrete solitons. These include, for example, discrete solitons in two-dimensiona...

We report the first experimental observation of discrete solitons in an array of optically induced waveguides. The waveguide lattice is induced in real time by illuminating a photorefractive crystal with a pair of interfering plane waves. We demonstrate two types of bright discrete solitons: in-phase self-localized states and the staggered (pi out-of-phase) soliton family. This experiment is th...