Reliable predictions of shoreline evolution at a range time scales both now and by end the century are required for assessing coastal vulnerability in changing climate. This is particularly important given possible changes regional wave climates and/or ocean water levels due to climate variability. To this end, much work has gone into development simple efficient semi-empirical models that can ...

This paper aims to apply two methods namely, Vortex Method and Higher Order Spectral Method to study the wave breaking and wave interaction. The breaking of shallow water gravity wave is performed using Vortex method, while the interaction between two gravity waves is carried out using Higher Order Spectral (HOS) method. In Vortex method an interface defined by a density or velocity discontinui...

We consider an evolution equation of parabolic type in R having a travelling wave solution. We study the effects on the dynamics of an appropriate change of variables which transforms the equation into a non local evolution one having a travelling wave solution with zero speed of propagation with exactly the same profile as the original one. This procedure allows us to compute simultaneously th...