Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …

In this paper we review recent progress on the analysis, experimental exploration, and
application of elastic wave propagation in weakly nonlinear media and metamaterials. We …

In this paper, we propose to solve the issues of long-range or next-neighbor interactions by
introducing randomness. This approach is applied to the square lattice Ising model. The …

We have measured the depinning of trapped kinks in a ratchet potential using a fabricated
circular array of Josephson junctions. Our ratchet system consists of a parallel array of …

A theoretical study of linear wave scattering by time-periodic spatially localized excitations
(discrete breathers) is presented. A peculiar effect of total reflection occurs due to a Fano …

We present a theoretical study of linear wave scattering in one-dimensional nonlinear
lattices by intrinsic spatially localized dynamic excitations or discrete breathers. These states …

In this paper, we consider the interaction of small amplitude waves (phonons) with standing
discrete breather (DB) in the one-dimensional chain of harmonically coupled particles …

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 …

We show that the Fano resonance, which has been actively studied in the context of
mesoscopic transport in systems with impurities or defects, also occurs in translationally …

At the zero amplitude limit, the scattering of 1D phonons by a spatially symmetric exact
breather is equivalent to the linear scattering by a time-periodic potential. We first study …