On time relaxed schemes and formulations for dispersive wave equations

However, we point out that these latter provide an overall good agreement with the reference solution, as shown in Table 1 where the relative error on the wave amplitude at t = 25 T

We show that for every classical shock wave, the system admits a corresponding non-oscillatory traveling wave solution which is continuous and piecewise smooth, having a

In this short communication, we present the multi-symplectic structure for the two-layer Serre–Green–Naghdi equations describing the evolution of large ampli- tude internal

The novelty of this work is a version of the Anosov method of averaging, applicable to nonlinear PDEs with small nonlinearities, which does not impose restrictions on the spectrum

In this study we extend the framework of the finite volume methods to dispersive water wave models, in particular to Boussinesq type systems.. We focus mainly on the application of

A high-order nite volume scheme is developed to numerically integrate a fully nonlinear and weakly dispersive set of Boussinesq-type equations (the so-called Serre equations) (J..

Moreover, several experimental measurements of solitary waves propagating over two different beach slopes up to nearly breaking conditions indicate that Serre equations can

First we give a very robust method for proving sharp time decay estimates for the most classical three models of dispersive Partial Differential Equations, the wave, Klein-Gordon