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Hamiltonian Formulation for the Description of Interfacial Solitary Waves : Volume 5, Issue 1 (30/11/-0001)

By Grimshaw, R.

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Book Id: WPLBN0004019918
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: Hamiltonian Formulation for the Description of Interfacial Solitary Waves : Volume 5, Issue 1 (30/11/-0001)  
Author: Grimshaw, R.
Volume: Vol. 5, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
-0001
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Pudjaprasetya, S. R., & Grimshaw, R. (-0001). Hamiltonian Formulation for the Description of Interfacial Solitary Waves : Volume 5, Issue 1 (30/11/-0001). Retrieved from http://hawaiilibrary.net/


Description
Description: Department of Mathematics and Statistics, Monash University, Clayton, Victoria 3168, Australia. We consider solitary waves propagating on the interface between two fluids, each of constant density, for the case when the upper fluid is bounded above by a rigid horizontal plane, but the lower fluid has a variable depth. It is well-known that in this situation, the solitary waves can be described by a variable-coefficient Korteweg-de Vries equation. Here we reconsider the derivation of this equation and present a formulation which preserves the Hamiltonian structure of the underlying system. The result is a new variable-coefficient Korteweg-de Vries equation, which conserves energy to a higher order than the more conventional well-known equation. The new equation is used to describe the transformation of an interfacial solitary wave which propagates into a region of decreasing depth.

Summary
Hamiltonian formulation for the description of interfacial solitary waves

 

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