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Grimshaw, R.; Pelinovsky, E.; Poloukhina, O. (2002)
Publisher: European Geosciences Union (EGU)
Languages: English
Types: Article
Subjects: [ PHYS.ASTR.CO ] Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO], QC801-809, [ SDU.ASTR ] Sciences of the Universe [physics]/Astrophysics [astro-ph], Geophysics. Cosmic physics, Q, [ SDU.STU ] Sciences of the Universe [physics]/Earth Sciences, Science, Physics, QC1-999

Classified by OpenAIRE into

arxiv: Nonlinear Sciences::Exactly Solvable and Integrable Systems, Nonlinear Sciences::Pattern Formation and Solitons, Mathematics::Analysis of PDEs, Physics::Fluid Dynamics
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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