Algebraic internal wave solitons and the integrable Calogero–Moser–Sutherland <i>N</i>-body problem

Abstract

The Benjamin–Ono equation that describes nonlinear internal waves in a stratified fluid is solved by a pole expansion method. The dynamics of poles which characterize solitons is shown to be identical to the well-known integrable N-body problem of Calogero, Moser, and Sutherland.