We consider an infinite chain of particles linearly coupled to their nearest neighbors and
subject to an anharmonic local potential. The chain is assumed weakly inhomogeneous, ie …

We prove nonexistence of breathers (spatially localized and time-periodic oscillations) for a
class of Fermi–Pasta–Ulam lattices representing an uncompressed chain of beads …

This paper investigates an analytical and numerical study on impurity–impurity and impurity–
breather interactions associated with energy localization in a quantum 1D Klein–Gordon …

This work focuses on the production of both stationary and traveling intrinsic localized
modes (ILMs), also known as discrete breathers, in two closely related electrical lattices; we …

We study the interaction of propagating wavetrains in a one-dimensional chain of coupled
linear damped oscillators with a strongly nonlinear, lightweight, dissipative local attachment …

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 a Frenkel–Kontorova model with a nonlinear interaction potential is used to
describe a vacancy defect in a crystal. According to recent numerical results [J. Cuevas, C …

We study the dynamics of moving discrete breathers in an interfaced piecewise DNA
molecule. This is a DNA chain in which all the base pairs are identical and there exists an …

We study the scattering of solitons in the nonlinear Schrödinger equation on local
inhomogeneities which may give rise to resonant transmission and reflection. In both cases …

In this paper we analyze the existence, stability, dynamical formation, and mobility properties
of localized solutions in a one-dimensional system described by the discrete nonlinear …