Stability of traveling wave solutions to the Whitham equation

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

For the fKdV equation, we prove that there exist lo- cal bifurcation branches emanating from the trivial solution, consisting of smooth and periodic traveling-wave solutions, and

We also compare our result with the increased stability for solutions of the Cauchy problem for the Helmholtz equation on Riemannian manifolds.. Keywords Helmholtz

Section 4 contains applications to the stability analysis of the generalized sto- chastic pantograph equation (5), but we stress that most results are also new for the

One of the most popular approaches for solving the wave equation with the Finite Element Method (FEM) in space uses the Leapfrog method [1][2][3] to advance the solution in time.

In this paper we study the Camassa–Holm equation (1.1) on a finite inter- val with periodic boundary conditions. It is known that certain initial data give global solutions, while

We have studied analytically the stability of the plane wave solutions of the equation (coherent states) and, using that result and numerical simulations, we find that the