This paper introduces and discusses the main aspects of ultrashort laser pulse filamentation
in various transparent media such as air (gases), transparent solids and liquids. The …

We analyze the response of rational and regular (hyperbolic-secant) soliton solutions of an
extended nonlinear Schrödinger equation (NLSE) which includes an additional self …

Existence and stability of PT-symmetric gap solitons in a periodic structure with defocusing
nonlocal nonlinearity are studied both theoretically and numerically. We find that, for any …

We analyze the properties of femtosecond-laser-written waveguides in silicon. By using a
mix of semianalytical and numerical methods, we find that the transverse index profile is …

In this paper, we investigate the properties of modulation instability (MI) in the fractional
Schrödinger equation with cubic–quintic nonlinearity (SECN), particularly focusing on some …

We find self-trapped propagation of elliptical super-Gaussian beam in cubic–quintic
nonlinear media. The soliton beam preserves its shape and size during propagation in Kerr …

This work analyses the stabilization of a two-dimensional spatial soliton in cubic-quintic
media. A diffraction managed model in cubic-quintic media has been formulated and …

The nonlinear Schrödinger equation which governs the dynamics of two-dimensional spatial
solitons in Kerr media with periodically varying diffraction and nonlinearity has been …

A variational technique is established to study the fundamental solitons in parity-time
symmetric optical lattices. The variational results show that the fundamental solitons can …

Self-focusing of high power, short laser pulses is considered for the purpose of identifying
physical parameters that allow a remotely controllable ionization in the atmosphere. The …