Journal of Computational and Applied Mathematics

However, the decaying solitary wave solutions of (1.2) do not have the explicit simple form they have for equation (1.1). In order to describe the α-dissipative

We explore numerically different aspects of periodic traveling-wave solutions of the Camassa–Holm equation.. In particular, the time evolution of some recently found new

This paper contains the construction of the unique entropy solution to the spatially dependent periodic Ostrovsky–Hunter equation, as a limit of approximate solutions gen- erated by

In summary, the resolution in space, time and the small amount of artificial diffusion makes the numerical errors from the interior negligible compared to the interaction with

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

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

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

The mass consistent models are based on the numerical solution of the steady state three-dimensional continuity equation for the mean wind components. The momentum and