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Article Dans Une Revue Nonlinear Processes in Geophysics Année : 2002

Higher-order Korteweg-de Vries models for internal solitary waves in a stratified shear flow with a free surface

Résumé

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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Dates et versions

hal-00302108 , version 1 (18-06-2008)

Identifiants

  • HAL Id : hal-00302108 , version 1

Citer

R. Grimshaw, E. Pelinovsky, O. Poloukhina. Higher-order Korteweg-de Vries models for internal solitary waves in a stratified shear flow with a free surface. Nonlinear Processes in Geophysics, 2002, 9 (3/4), pp.221-235. ⟨hal-00302108⟩

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