Perturbed, one-dimensional, integrable (ie, soliton-bearing) equations arise in many applied
contexts when trying to improve the (usually highly idealized) description of problems of …

We study the properties of discrete breathers, also known as intrinsic localized modes, in the
one-dimensional Frenkel-Kontorova lattice of oscillators subject to damping and external …

Moving breathers is a means of transmitting information in DNA. We study the existence and
properties of moving breathers in a DNA model with short-range interaction, due to the …

Whereas there exists a mathematical proof for one-site breathers stability, and an
unpublished one for two-site breathers, the methods for determining the stability properties …

A vacancy defect is described by a Frenkel–Kontorova model with a discommensuration.
This vacancy can migrate when interacts with a moving breather. We establish that the width …

In this paper we study the existence and linear stability of bright and dark breathers in one-
dimensional FPU lattices. On the one hand, we test the range of validity of a recent breathers …

Time-periodic localized oscillations occur in a variety of contexts, in particular in weakly
coupled anharmonic lattices and in disordered harmonic networks of oscillators, where they …

We study the properties of moving breathers in a bent DNA model with short range
interaction, due to the stacking of the base pairs, and long range interaction, due to the finite …

Discrete bright breathers are well known phenomena. They are localized excitations that
consist of a few excited oscillators in a lattice and the rest of them having very small …

We study the existence, stability and movability of breathers in a model for alpha–helix
proteins. This model basically consists of a chain of dipole moments parallel to it. The …