Influence of currents on weakly nonlinear topographic waves

In the Boussinesq approximation, we consider trapped topographic waves in an inhomogeneous current directed along isobaths. The influence of the current on the dispersion properties of trapped topographic waves in the Norwegian Sea is studied. We determine the mean currents and nonoscillatory (on the time scale of the waves) density corrections induced by the waves due to their nonlinearity. It is shown that the influence of currents is significant in the short-wave region. Its influence leads to a decrease in the wavelength for the constant period of waves, whereas the mean current caused by nonlinearity noticeably varies, especially in the bottom layer.