Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

Abstract 2D and 3D solitons and related states, such as quantum droplets, can appear in
optical systems, atomic Bose–Einstein condensates (BECs) and liquid crystals, among other …

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 …

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 …

A time-fractional Ablowitz-Ladik model is investigated by using the fractional exponential
function approach, and bright and dark discrete soliton solutions, exponential discrete …

Despite remarkable developments in the field, a detailed treatment of non-Kerr law media
has not been published. Introduction to non-Kerr Law Optical Solitons is the first book …

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 …

We report the first experimental observation of three-dimensional light bullets, excited by
femtosecond pulses in a system featuring quasi-instantaneous cubic nonlinearity and a …

We consider a binary bosonic condensate with weak mean-field (MF) residual repulsion,
loaded in an array of nearly one-dimensional traps coupled by transverse hopping. With the …

We analyze self-focusing and singularity formation in the nonlinear Schrödinger equation
(NLS) with high-order dispersion i\psi_t±Δ^qψ+|ψ|^2σψ=0, in the isotropic mixed-dispersion …