Weakly nonlinear water waves over varying topography

This thesis consists of 2 sections, part A chapters 1-6 and part B chapters 6-7 with references and appendices. The cubic Schrodinger equation for weakly nonlinear water gravity waves had been extended for application to a wider frequency bandwidth and over a more rapidly varying depth using the mul...

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Main Author: Xiao, Rong
Other Authors: Lo, Edmond Yat-Man
Format: Theses and Dissertations
Language:English
Published: 2008
Subjects:
Online Access:http://hdl.handle.net/10356/12124
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-121242023-03-03T19:40:06Z Weakly nonlinear water waves over varying topography Xiao, Rong Lo, Edmond Yat-Man School of Civil and Environmental Engineering DRNTU::Engineering::Civil engineering::Water resources This thesis consists of 2 sections, part A chapters 1-6 and part B chapters 6-7 with references and appendices. The cubic Schrodinger equation for weakly nonlinear water gravity waves had been extended for application to a wider frequency bandwidth and over a more rapidly varying depth using the multiple scales method. By a re- ordering of the perturbation expansion procedure, the resulting equation set included higher order linear dispersive and depth dependent terms, and the leading nonlinear terms, without having to extend the derivation to fourth order in the wave steepness. Doctor of Philosophy (CEE) 2008-09-25T06:37:54Z 2008-09-25T06:37:54Z 2003 2003 Thesis http://hdl.handle.net/10356/12124 en Nanyang Technological University 147 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Civil engineering::Water resources
spellingShingle DRNTU::Engineering::Civil engineering::Water resources
Xiao, Rong
Weakly nonlinear water waves over varying topography
description This thesis consists of 2 sections, part A chapters 1-6 and part B chapters 6-7 with references and appendices. The cubic Schrodinger equation for weakly nonlinear water gravity waves had been extended for application to a wider frequency bandwidth and over a more rapidly varying depth using the multiple scales method. By a re- ordering of the perturbation expansion procedure, the resulting equation set included higher order linear dispersive and depth dependent terms, and the leading nonlinear terms, without having to extend the derivation to fourth order in the wave steepness.
author2 Lo, Edmond Yat-Man
author_facet Lo, Edmond Yat-Man
Xiao, Rong
format Theses and Dissertations
author Xiao, Rong
author_sort Xiao, Rong
title Weakly nonlinear water waves over varying topography
title_short Weakly nonlinear water waves over varying topography
title_full Weakly nonlinear water waves over varying topography
title_fullStr Weakly nonlinear water waves over varying topography
title_full_unstemmed Weakly nonlinear water waves over varying topography
title_sort weakly nonlinear water waves over varying topography
publishDate 2008
url http://hdl.handle.net/10356/12124
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