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Higher-order Korteweg-de Vries Models for Internal Solitary Waves in a Stratified Shear Flow with a Free Surface : Volume 9, Issue 3/4 (30/11/-0001)

By Grimshaw, R.

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Book Id: WPLBN0004020021
Format Type: PDF Article :
File Size: Pages 15
Reproduction Date: 2015

Title: Higher-order Korteweg-de Vries Models for Internal Solitary Waves in a Stratified Shear Flow with a Free Surface : Volume 9, Issue 3/4 (30/11/-0001)  
Author: Grimshaw, R.
Volume: Vol. 9, Issue 3/4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
-0001
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Pelinovsky, E., Poloukhina, O., & Grimshaw, R. (-0001). Higher-order Korteweg-de Vries Models for Internal Solitary Waves in a Stratified Shear Flow with a Free Surface : Volume 9, Issue 3/4 (30/11/-0001). Retrieved from http://hawaiilibrary.net/


Description
Description: Department of Mathematical Sciences, Loughborough University, Loughborough, UK. 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.

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

 

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