%0 Journal Article
%T Higher-order Korteweg-de Vries models for internal solitary waves in a stratified shear flow with a free surface
%A R. Grimshaw
%A E. Pelinovsky
%A O. Poloukhina
%J Nonlinear Processes in Geophysics (NPG)
%D 2002
%I Copernicus Publications
%X A higher-order extension of the familiar Korteweg-de Vries equation is derived for internal solitary waves in a density- and current-stratified shear flow with a free surface. All coefficients of this extended Korteweg-de Vries equation are expressed in terms of integrals of the modal function for the linear long-wave theory. An illustrative example of a two-layer shear flow is considered, for which we discuss the parameter dependence of the coefficients in the extended Korteweg-de Vries equation.
%U http://www.nonlin-processes-geophys.net/9/221/2002/npg-9-221-2002.pdf