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

This Letter shows that soliton propagation can be described by an extended NLS equation
which incorporates fractional dispersion and a fractional nonlinearity. The fractional …

We consider the mechanism of formation of isolated localized wave structures in the
diatomic Fermi-Pasta-Ulam (FPU) model. Using a singular multiscale asymptotic analysis in …

A model for a non-Kerr cylindrical nematic fiber is presented. We use the multiple scales
method to show the possibility of constructing different kinds of wave packets of transverse …

At the end of the nineties a brand-new type of soliton was discovered: the embedded
solitons. Initially they were found in optical systems, and afterwards they were also found in …

We address the existence and properties of discrete embedded solitons (ESs), that is,
localized waves existing inside the phonon band in a nonlinear dynamical-lattice model …

In this paper we study the soliton dynamics of a high-density Bose-Einstein condensate
(BEC) subject to a time-oscillating trap. The behavior of the BEC is described with a modified …

It was recently proved that solitons embedded in the spectrum of linear waves may exist in
discrete systems, and explicit solutions for isolated unstable embedded lattice solitons (ELS) …

The appearance and propagation of a radiating bulk elastic strain soliton is experimentally
detected for the first time in layered nonlinearly elastic waveguides with nonideal contact …

The soliton solutions of a higher-order nonlinear Schrödinger equation including
nonlinearities of orders and, as well as second-and fouth-order dispersive terms, are …