There has been considerable interest in the study on the variable-coefficient nonlinear evolution equations in recent years, since they can describe the real situations in many fields of physical and engineering sciences. In this paper, a generalized variable-coefficient KdV (GvcKdV) equation...

Waves in periodic media, whose propagation is governed by nearest neighbour interaction, are investigated. The reflection and transmission coefficients are derived for a plane wave incident from medium 1 upon medium 2, without invoking common approximations. The derivation is valid for a class...

The evolution of the amplitude of two nonlinearly interacting waves is considered, via a set of coupled nonlinear Schrödinger-type equations. The dynamical profile is determined by the wave dispersion laws (i.e. the group velocities and the group velocity dispersion terms) and the nonlinearity...

We apply the expanded basis method (EBM) to investigate the behavior of light in a two-dimensional photonic crystal (PC) slab. This method is based on expanded completeness bases, including both the propagation and evanescence modes. We calculate the reflected and transmitted coefficients and...

We report an experimental study of the sound produced by the bursting of a thin liquid film, which initially closes an overpressurized cylindrical cavity. There is a need for a deep understanding of the phenomenon, which can be very useful in numerous practical cases. For instance, in the...

The band structures of symmetrical Fibonacci sequences (SFS) composed of positive and negative refractive index materials are studied with a transfer matrix method. A new type of omnidirectional zero-<InlineEquation ID="Equ2"> <EquationSource Format="TEX">$\bar{n}$</EquationSource> </InlineEquation> gaps is found in the SFS. In contrast to the Bragg gaps, such an omnidirectional...</equationsource></inlineequation>

The object of this work is to calculate the effective dielectric constant tensor of a warm plasma made of non point-like ions in an electron gas whose screening length is much larger than the inter-ionic and inter-electronic distances. In this disordered medium, a proper treatment of the...

Breast imaging systems must recognize very small lesions at early stage of detection in order to save lives and reduce costs. The clinical amplitude–velocity reconstruction imaging (CARI), a recent breast imaging technique, is based on the differentiation of velocity and attenuation of...