This review provides a detailed discussion of both the mathematical treatment and the
impact of a frequency-dependent Kerr nonlinearity on the propagation of short pulses in …

We consider a higher-order nonlinear Schrödinger equation that models the evolution of
ultrashort optical pulses in nonlinear media exhibiting nonlinearities up to the ninth order …

We show that 2D-decorated silicon nanowires exhibit a strong frequency dependence of the
real (Kerr) and imaginary (two-photon absorption) nonlinear coefficients. In this setting, we …

We study supercontinuum (SC) generation in graphene-covered nanowires based on a
generic model that correctly accounts for the evolution of the photon number under Kerr and …

We have recently introduced a new modeling equation for the propagation of pulses in
optical waveguides, the photon-conserving Nonlinear Schrödinger Equation (pcNLSE) …

We study the interaction between an intense soliton and a weak control pulse in optical
media with a zero-nonlinearity wavelength (ZNW). By means of numerical simulations, we …

We put forth a theoretical model allowing for the analysis of short-pulse interactions at time
boundaries in waveguides with arbitrary frequency-dependent nonlinear profiles, in …

We propose an original, simple, and direct method for the simultaneous estimation of the self-
steepening parameter and the fractional Raman contribution in fiber optics. Our proposal is …

The formation of dispersive waves and radiation trapping are two most relevant phenomena
in supercontinuum generation. In spite the fact that the nonlinear coefficient of many …

We revisit the complex interplay between the Raman-induced frequency shift (RIFS) and the
effect of self-steepening (SS) in the propagation of solitons, and in the framework of an …