Optical collapse is a fascinating research topic. The propagation of intense laser beams in a
transparent medium is usually modeled by the two-dimensional nonlinear Schrödinger …

After every other failure mode has been considered, in the end, the high-performance limit of
all lasers is set by optical damage. The demands of inertial confinement fusion (ICF) pushed …

The well-posedness of a nonlinear Helmholtz equation with an impedance boundary
condition is established for high frequencies in two and three dimensions. Stability estimates …

We investigate the formation and propagation of gap-soliton bullets in nonlinear periodic
waveguides at frequencies close to the gap for Bragg reflection beyond the paraxial …

We present a novel computational methodology for solving the scalar nonlinear Helmholtz
equation (NLH) that governs the propagation of laser light in Kerr dielectrics. The …

Based on the nonlinear Helmholtz equation, we consider a model of the propagation of non-
paraxial optical solitons, namely the non-paraxial nonlinear Schrödinger equation. Using …

In this paper we explore the limits of the unidirectional pulse propagation equation (UPPE)
in general nonlinear media. Our main aim is to investigate under which physical conditions …

The generalized nonparaxial nonlinear Schrödinger (NLS) equation in optical fibers filled
with chiral materials is reduced to the higher-order integrable Hirota equation. Based on the …

During the last decade, microfabrication of photonic devices by means of intense
femtosecond (fs) laser pulses has emerged as a novel technology. A common requirement …

A new iterative method is developed for solving the two-dimensional nonlinear Helmholtz
equation which governs polarized light in media with the optical Kerr nonlinearity. In the …