The objective of this paper is to investigate the surface waves in fibre-reinforced anisotropic elastic medium subjected to gravity field. The theory of generalized surface waves has firstly developed and then it has been employed to investigate particular cases of waves, viz., Stoneley waves, Rayleigh waves and Love waves. The analytical expressions for waves velocity and attenuation coefficie...

High conversion efficiency ~0.1%! into second harmonic light generated in the interaction of a short-pulse intense laser with underdense plasma has been observed. In this experiment the plasma is created by optical field ionization of hydrogen or helium gas. Second harmonic spectra observed in the forward direction show Stokes and anti-Stokes satellites. This is due to the interaction of the se...

We develop an efficient numerical method for analyzing second harmonic generation (SHG) in two-dimensional photonic crystals composed of nonlinear circular cylinders embedded in a linear background medium. Instead of solving the governing inhomogeneous Helmholtz equation for the second harmonic wave in the entire structure directly, we define and solve a locally generated second harmonic field ...

We consider nontrivial finite energy traveling waves for the Landau–Lifshitz equation with easyplane anisotropy. Our main result is the existence of a minimal energy for these traveling waves, in dimensions two, three and four. The proof relies on a priori estimates related with the theory of harmonic maps and the connection of the Landau–Lifshitz equation with the kernels appearing in the Gros...

The paper presents a model of a chiral multi-structure incorporating gyro-elastic beams. Floquet-Bloch waves in periodic chiral systems are investigated in detail, with the emphasis on localization and the formation of standing waves. It is found that gyricity leads to low-frequency standing modes and generation of stop-bands. A design of an earthquake protection system is offered here, as an i...

A large family of noncommutative Einstein-Maxwell null pp -waves to order one in the noncommutativity parameters is constructed. They are solutions to the Einstein and field equations for general relativity coupled to a Seiberg-Witten electromagnetic field. Noncommutativity enters the spacetime metric through a conformal factor and is responsible for dilating/contracting the separation between ...

Theoretical and numerical studies of nonlinear acoustic effects arising from the propagation initially harmonic waves in polycrystalline solids with saturation amplitude-dependent internal friction have been carried out. Two main types hysteresis are considered: elastic inelastic. A comparative analysis regularities is out characteristics quasi-harmonic such media determined: losses changes vel...

Nonlinear interactions of longitudinal waves were observed in a two-dimensional plasma crystal, i.e., a lattice composed of highly charged microspheres immersed in a plasma. The waves were launched by radiation pressure of a laser, and wave spectra in omega-k space were analyzed at various amplitudes of waves. At a sufficiently large amplitude of wave, the second and third wave harmonics satisf...