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Higher-order Korteweg-de Vries models for internal solitary waves in a stratified shear flow with a free surface
1Department of Mathematical Sciences, Loughborough University, Loughborough, UK
2Laboratory of Hydrophysics and Nonlinear Acoustics, Institute of Applied Physics and Department of Applied Mathematics, Nizhny Novgorod Technical University, Nizhny Novgorod, Russia
Abstract. 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.
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Citation: Grimshaw, R., Pelinovsky, E., and Poloukhina, O.: Higher-order Korteweg-de Vries models for internal solitary waves in a stratified shear flow with a free surface, Nonlin. Processes Geophys., 9, 221-235, 2002. Bibtex EndNote Reference Manager
