HenrikKalisch ,JonatanLenells Numericalstudyoftraveling-wavesolutionsfortheCamassa–Holmequation

It is shown that in water of #nite depth, the surface pro#le of a periodic traveling wave uniquely determines the corresponding 2ow in the body of the 2uid1. This condition is

In order to understand whether the Whitham equation is a viable water wave model, numerical approximations of periodic solutions of the KdV and Whitham equation are compared

The first question one might ask of the Whitham-Kakutani-Matsuuchi equation is whether it admits traveling-wave solutions in the shape of undular bores, like the KdV-Burgers

In this thesis we explore the use of local bifurcation theory to show existence of small-amplitude traveling wave solutions to nonlinear dispersive partial differential equations

Paper 1 concerns periodic travelling wave solutions of the capillary- gravity Whitham equation, or just capillary Whitham for short, which models shallow water waves when

As in Xin and Zhang [31, 32] and their study of the Camassa–Holm equation (1.1) with κ = 0, we prove existence of a global weak solution by establishing convergence as ε → 0 of

The models developed in this Master Thesis are based on natural examples, but are designed to explore the physical aspects numerically. In the second chapter the governing

In order to investigate and numerically solve the conformally invariant wave equation near spacelike infinity, we first need to choose suitable coordinates that are