A theoretical model is presented for the study of the scattering of phonons at an extended inhomogeneous boundary separating thin solid monatomic films. The model system consists of two solid films with otherwise stress-free surfaces on either side of an atomic well boundary. The coherent...

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 interface such that the base pairs dipole moments at each side are oriented in opposite directions. The Hamiltonian of the...

Symmetric collisions of two discrete breathers in the lattice with saturable nonlinearity are investigated. The strong correlation of the collision properties and the parameters of colliding breathers (power, velocity, and phase difference), lattice parameters and position of the collision point...

We study the acoustic-phonon spectra in periodic and quasiperiodic (Fibonacci type) superlattices made up from III–V nitride materials (GaN) intercalated by sapphire (Al<Subscript>2</Subscript>O<Subscript>3</Subscript>). Due to the misalignments between the sapphire and the GaN layers that can lead to threading dislocation densities as...</subscript></subscript>

The dynamics of energy relaxation in thermalized one- and two-dimensional arrays with nonlinear interactions depend in detail on the interactions and, in some cases, on dimensionality. We describe and explain these differences for arrays of the Fermi–Pasta–Ulam type. In particular, we focus...

We present the similarities and differences between one-dimensional (1D) and two-dimensional (2D) spatially localized, time periodic solutions in discrete nonlinear Hamiltonian systems. In particular, the types of modes their stability and their bifurcations are presented. We find that two...