The KdV equation arises in the framework of the Boussinesq scaling as a model equation for
waves at the surface of an inviscid fluid. Encoded in the KdV model are relations that may be …

We use bifurcation theory to construct small periodic gravity stratified water waves with
density which depends linearly upon the pseudostream function. As a special feature the …

Of concern are steady two-dimensional periodic geophysical water waves of small
amplitude near the equator. The analysis presented here is based on the bifurcation theory …

We study steady periodic water waves with variable vorticity and density, where we allow for
stagnation points in the flow, and where we admit the capillarity effects of surface tension …

We prove the existence of small steady periodic capillary-gravity water waves for stratified
flows, where we allow for stagnation points in the flow. We establish the existence of both …

We consider steady periodic water waves with vorticity which propagate over a flat bed with
a specified fixed mean-depth d> 0. Following a novel reformulation of the governing …

In this paper, we apply the bifurcation theory to study the steady two-dimensional periodic
equatorial water waves for the f-plane approximation. We consider the waves with vorticity …

We consider steady periodic water waves for rotational flows with a specified fixed depth
over a flat bed. We construct a modified height function, which explicitly introduces the mean …

We prove that the streamlines underneath the surface of a periodic traveling water wave
propagating above a flat bed with constant speed which exceeds the horizontal velocity of …

We study periodic capillary and capillary-gravity waves traveling over a water layer of
constant vorticity and finite depth. Inverting the curvature operator, we formulate the …