A (linear) stability analysis of planar reaction fronts to transverse perturbations is considered for systems based on cubic autocatalysis and a model for the chlorite-tetrathionate reaction. Dispersion curves (plots of the growth rate sigma against a transverse wave-number k) are obtained. In both cases it is seen that there is a nonzero value D0 of D (the ratio of the diffusion coefficients o...

When a set of simulated multichannel seismic records acquired over pavement is processed by a 2-D wavefield transformation technique normally used in the Multichannel Analysis of Surface Waves (MASW) method, several branches are observed in the dispersion-curve image constructed from the transformation. Some investigators theoretically anticipated this branching phenomenon a few decades ago in ...

Time-frequency representations, like the spectrogram or the scalogram, are widely used to characterize dispersive waves. The resulting energy distributions, however, suffer from the uncertainty principle, which complicates the allocation of energy to individual propagation modes (especially when the dispersion curves of these modes are close to each other in the time-frequency domain). This res...

A general model is introduced which describes a system with cubic nonlinearities, in a situation when the linear dispersion relation has three branches which nearly intersect. The system includes two waves with a strong linear coupling between them, to which a third wave is coupled. This model has two gaps in its linear spectrum. A nonlinear analysis is performed for zero-velocity solitons. If ...

This document is made available in accordance with publisher policies and may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the URL above for details on accessing the published version. Copyright and all moral rights to the version of the paper presented here belong to the individual ...

The present investigation deals with the propagation of waves in the layer of an anisotropic fibre reinforced thermoelastic solid. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitude of displacements and temperature distribution were also obtained. Finally, the numerical solution was carried out for Cobalt material...

A two-dimensional visual device for description of the dispersion of a multivariate data set in any dimension is the scale curve, a depth-based method introduced by Liu (1990) and treated in detail by Liu, Parelius and Singh (1999). It offers an appealing alternative to covariance matrix methods and even provides an attractive new tool in the univariate case. To support applications such as uni...

Lamb waves are frequently used in nondestructive evaluation and are proposed for structural health monitoring applications. While many numerical methods to obtain dispersion curves for Lamb waves have been developed and implemented, in general they are time consuming and do not lend themselves to analyses involving the perturbation of parameters such as the small thickness and wave speed change...

The present work aims to establish the utility of dispersion-corrected density functional theory for potential energy curves of the benzene dimer, a problem that has received significant attention for a long time. The interaction energies of parallel-stacked, T-shaped and parallel-displaced benzene dimer configurations have been evaluated using both dispersion- and normal gradient-corrected Per...