Solitons, nonlinear self-trapped wavepackets, have been extensively studied in many and
diverse branches of physics such as optics, plasmas, condensed matter physics, fluid …

The nonlinear propagation of coherent optical fields has been extensively explored in the
framework of nonlinear optics, while the linear propagation of incoherent fields has been …

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 …

“Dark beams” are nonuniform optical beams that contain either a one-dimensional (1D) dark
stripe or a two-dimensional (2D) dark hole resulting from a phase singularity or an amplitude …

We analytically demonstrate the existence of white light solitons in logarithmically saturable
noninstantaneous nonlinear media. This incoherent soliton has elliptic Gaussian intensity …

A statistical approach based on the Wigner transform is proposed for the description of
partially incoherent optical wave dynamics in nonlinear media. An evolution equation for the …

It is almost common knowledge now that particles also possess properties of waves. But,
can localized wave-packets behave and interact like particles? This article is dedicated to …

We modify the radiation transfer approach, accounting for refraction, and apply this model to
the analysis of propagation of spatially incoherent beams in inertial nonlinear media. For …

We show that three approaches previously developed to describe partially incoherent wave
propagation in inertial nonlinear media are in fact equivalent. This equivalence is formally …