In the past years there was a huge interest in experimental and theoretical studies in the
area of few-optical-cycle pulses and in the broader fast growing field of the so-called …

In the course of the past several years, a new level of understanding has been achieved
about conditions for the existence, stability, and generation of spatiotemporal optical …

The current research into solitons and their use in fiber optic communications is very
important to the future of communications. Since the advent of computer networking and …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

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 …

The mathematical basis of nonlinear optics is Maxwell's system of equations governing
propagation of electromagnetic waves in a material medium, combined with relations …

We give an overview of the basic physical concepts and analytical methods for investigating
the symmetry-breaking instabilities of solitary waves. We discuss self-focusing of spatial …

Cascading is the process by which the exchange of energy between optical beams
interacting via second order nonlinearities (χ (2)) leads to various effects such as nonlinear …

Pattern formation and competition occur in a nonlinear extended medium if dissipation
allows for attracting sets, independently of initial and boundary conditions. This intrinsic …

We report the experimental formation of optical spatiotemporal solitons. Intense
femtosecond-duration pulses experience a saturable self-focusing nonlinearity due to the …