Some New Aspects of the Joint Effect of Rotation and Topography on Internal Solitary Waves

Abstract

AbstractUsing a recently developed asymptotic theory of internal solitary wave propagation over a sloping bottom in a rotating ocean, some new qualitative and quantitative features of this process are analyzed for internal waves in a two-layer ocean. The interplay between different singularities?terminal damping due to radiation and disappearing quadratic nonlinearity, and reaching an ?internal beach? (e.g., zero lower-layer depth)?is discussed. Examples of the adiabatic evolution of a single solitary wave over a uniformly sloping bottom under realistic conditions are considered in more detail and compared with numerical solutions of the variable-coefficient, rotation-modified Korteweg?de Vries (rKdV) equation.