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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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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2008
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| Online Access: | http://hdl.handle.net/10356/12122 |
| _version_ | 1811695100115288064 |
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| author | Xiao, Rong |
| author2 | Lo, Edmond Yat-Man |
| author_facet | Lo, Edmond Yat-Man Xiao, Rong |
| author_sort | Xiao, Rong |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T07:18:06Z |
| format | Thesis |
| id | ntu-10356/12122 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:18:06Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | ntu-10356/121222023-03-03T19:30:21Z 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) 2008-09-25T06:37:49Z 2008-09-25T06:37:49Z 2003 2003 Thesis http://hdl.handle.net/10356/12122 en Nanyang Technological University 170 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Civil engineering::Water resources Xiao, Rong Weakly nonlinear water waves over varying topography |
| title | 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_short | Weakly nonlinear water waves over varying topography |
| title_sort | weakly nonlinear water waves over varying topography |
| topic | DRNTU::Engineering::Civil engineering::Water resources |
| url | http://hdl.handle.net/10356/12122 |
| work_keys_str_mv | AT xiaorong weaklynonlinearwaterwavesovervaryingtopography |