Metamaterials, ie artificial, man-made media designed to achieve properties not available in
natural materials, have been the focus of intense research during the last two decades …

This paper presents a literature review of recent research studies on the applications of
nonlocal elasticity theory in the modeling and simulation of graphene sheets (GSs). The …

It is well known that a modulationally unstable short-wavelength delocalized nonlinear
vibrational mode (DNVM) can create chaotic discrete breathers (DBs) in a nonlinear lattice …

Molecular dynamics (MD) is a powerful tool for modeling structural transformations in
metallic materials under irradiation, severe plastic deformation, laser processing, etc. The …

It is known that defect-free crystals can support spatially localized, large amplitude
vibrational modes with frequencies outside the linear phonon spectrum. Such excitations are …

A practical approach to the search for (quasi-) discrete breathers (DBs) in a triangular β-
FPUT lattice (after Fermi, Pasta, Ulam, and Tsingou) is proposed. DBs are obtained by …

The generation of travelling sine-Gordon breathers is achieved through the nonlinear
supratransmission effect in a magnetically driven long Josephson junction, in the presence …

Lead chalcogenides have exceptional thermoelectric properties and intriguing anharmonic
lattice dynamics underlying their low thermal conductivities. An ideal material for …

Nonlinear lattices support delocalized nonlinear vibrational modes (DNVMs) that are exact
solutions to the dynamical equations of motion dictated by the lattice symmetry. Since only …

Discrete breathers (DB) are spatially localized vibrational modes of large amplitude in defect-
free nonlinear lattices. The search for DBs in graphene is of high importance, taking into …