Periodic travelling waves are an important solution form in oscillatory reaction–diffusion equations. I have shown previously that such waves arise naturally near a boundary at which a Dirichlet condition is applied. This result has applications in ecology, providing a potential explanation for the periodic waves seen in a number of natural populations. However, in ecological applications the D...

This article presents a rigorous existence theory for small-amplitude three-dimensional travelling water waves. The hydrodynamic problem is formulated as an infinite-dimensional Hamiltonian system in which an arbitrary horizontal spatial direction is the time-like variable. Wave motions which are periodic in a second, different horizontal direction are detected using a centre-manifold reduction...

A travelling Lamb wave tactile display has been developed. To indicate smooth or braking sensation, the device is controlled in order to impose the relative speed between the finger and the wave, so that a variable shear force appears on the fingerpulp. Moreover, at low frequency, an amplitude modulation of the travelling Lamb wave is achieved so as to excite alternatively shear forces on the s...

in this paper, the modified simplest equation method is successfully implemented to find travelling wave solutions of the generalized forms $b(n,1)$ and $b(-n,1)$ of burgers equation.this method is direct, effective and easy to calculate, and it is a powerful mathematical tool for obtaining exact travelling wave solutions of the generalized forms $b(n,1)$ and $b(-n,1)$ of burgers equation and c...

evaluation of the cardiovascular system of canine pediatrics requires awareness of the anatomical and physiological changes occurring from birth to six months of age. the aim of this study was to report electrocardiographic changes in the littermate mongrel dogs from birth tosix months. serial six-lead electrocardiograms were recorded from ten normal littermate mongrel dogs kept on right latera...

We studied travelling waves in N nonlinear differential equations with a delay and large parameter. This system is important because it can be regarded as phenomenological model of N-coupled neuron-like oscillators delay. The problem the existence travelling-wave-type solutions was reduced to study dynamics an auxiliary equation two delays. Using special asymptotic method for parameter we prove...

This paper reflects the implementation of a reliable technique which is called $left(frac{G'}{G}right)$-expansion  ethod for  constructing exact travelling wave solutions of nonlinear partial  differential equations. The proposed algorithm has been successfully tested on two two selected equations, the balance numbers of which are not positive integers namely Kundu-Eckhaus equation and  Derivat...

refractor ambiguities are big problem in seismic refraction method especially in seismic engineering. there can be hidden subsurface geological phenomena such as hidden faults and shear zones which are not simply predicted by the travel-time graph or some geophysical methods. head wave amplitudes are used to show the resolution of refractor ambiguities and the existence of anisotropy in complex...