Higher-order Korteweg-de Vries models for internal solitary waves in a stratified shear flow with a free surface
Other literature type, Article
Grimshaw , R.
Pelinovsky , E.
Poloukhina , O.
- Publisher: European Geosciences Union (EGU)
(issn: 1607-7946, eissn: 1607-7946)
[ PHYS.ASTR.CO ] Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO] | [ SDU.STU ] Sciences of the Universe [physics]/Earth Sciences | [ SDU.ASTR ] Sciences of the Universe [physics]/Astrophysics [astro-ph]
arxiv: Mathematics::Analysis of PDEs | Nonlinear Sciences::Pattern Formation and Solitons | Physics::Fluid Dynamics | Nonlinear Sciences::Exactly Solvable and Integrable Systems
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.