title: Two-dimensional evolution equation of finite-amplitude internal gravity waves in a uniformly stratified fluid
abstract: We derive a fully nonlinear evolution equation that can describe the two-dimensional motion of finite-amplitude long internal waves in a uniformly stratified three-dimensional fluid of finite depth. The derived equation is the two-dimensional counterpart of the evolution equation obtained by Grimshaw and Yi [J. Fluid Mech. 229, 603 (1991)]. In the small-amplitude limit, our equation is reduced to the celebrated Kadomtsev-Petviashvili equation.
authors.affiliation: Graduate School of Science and Technology, Kobe University, Rokkodai, Nada, Kobe 657-8501, Japan.
authors.initials: T
authors.lastname: Kataoka
authors.initials: M
authors.lastname: Tsutahara
authors.initials: T
authors.lastname: Akuzawa