Originally, the Hubbard model was derived for describing the behavior of strongly correlated
electrons in solids. However, for over a decade now, variations of it have also routinely been …

In the past years there was a huge interest in experimental and theoretical studies in the
area of few-optical-cycle pulses and in the broader fast growing field of the so-called …

We show theoretically that a photonic topological insulator can support edge solitons that
are strongly self-localized and propagate unidirectionally along the lattice edge. 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 …

Using the method of asymptotics beyond all orders, we evaluate the amplitude of radiation
from a moving small-amplitude soliton in the discrete nonlinear Schrödinger equation. When …

We consider the propagation of few-cycle pulses (FCPs) in cubic nonlinear media exhibiting
a “crystal-like” structure, beyond the slowly varying envelope approximation, taking into …

Traveling solitary waves in the one-dimensional discrete nonlinear Schrödinger equation
with saturable onsite nonlinearity are studied. A variational approximation (VA) for the …

It is well known that a moving intrinsic localized mode (ILM) in a nonlinear physical lattice
looses energy because of the resonance between it and the underlying small amplitude …

An anisotropic lattice model in two spatial dimensions, with on-site and intersite cubic
nonlinearities (the Salerno model), is introduced, with emphasis on the case in which the …

We consider the propagation of circularly polarized few-cycle pulses (FCPs) in Kerr media
beyond the slowly varying envelope approximation. Assuming that the frequency of the …