Multicolor optical solitons mediated by quadratic nonlinearities have been observed
experimentally during the last few years in a variety of materials and geometries in a number …

Whole families of stable optical solitons are known to exist in media with quadratic
nonlinearity, and evidence of such existence has been demonstrated experimentally during …

We present an overview of nonlinear phenomena related to optical quadratic solitons—
intrinsically multi-component localized states of light, which can exist in media without …

Discrete solitons with two frequency components mutually locked by a quadratic nonlinearity
have been observed for the first time. Optical experiments have been performed in arrays of …

We report what is believed to be the first experimental demonstration of soliton content as a
function of the intensity of input light for multicolor quadratic solitons. Experiments were …

This article serves as an introduction to the focus issue on optical solitons. After a short
review of the history of solitons and the field of integrable systems, a brief overview of the …

We introduce a model of one-and two-dimensional (1D and 2D) optical media with the χ (2)
nonlinearity whose local strength is subject to cusp-shaped spatial modulation, χ (2)∼ r− α …

The experimental demonstration in 1995 of spatial soliton formation mediated by parametric
wave interactions in crystals with quadratic nonlinearities, which had been theoretically …

We show numerically that, contrary to what has been believed so far, multidimensional
optical solitons can propagate in cubic nonlinear media. To avoid a collapse along the …

We provide an overview of recent experimental and theoretical developments in the area of
optical discrete solitons. By nature, discrete solitons represent self-trapped wavepackets in …