A study of the boussinesq equation as a wave propagation in shallow water
Shallow water waves has been expressed as a couple of equations by Whitham (1967). amny researchers have continued studies in this field by deriving the so-called Boussinesq equations. A straight forward derivation from the Whitham' shallow water equestions shall immediately produced a couple...
| Main Authors: | , , , |
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| Format: | Monograph |
| Language: | English |
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Universiti Teknologi Malaysia
2005
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| Subjects: | |
| Online Access: | http://eprints.utm.my/3022/1/75174.pdf |
| _version_ | 1825909330537349120 |
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| author | Isa, Mukheta Mohd. Siam, Fuaada Mat Isa, Zaiton Mohamed, Zamzulani |
| author_facet | Isa, Mukheta Mohd. Siam, Fuaada Mat Isa, Zaiton Mohamed, Zamzulani |
| author_sort | Isa, Mukheta |
| collection | ePrints |
| description | Shallow water waves has been expressed as a couple of equations by Whitham (1967). amny researchers have continued studies in this field by deriving the so-called Boussinesq equations. A straight forward derivation from the Whitham' shallow water equestions shall immediately produced a coupled form of Boussinesq equations. In this paper we use the Lagrange coordinates in order to derive the single Boussinesq equation to represent wave motion on the surface of shallow water. We shall also discuss its solution by using the Hirota bilinear method and the KP hierarchy of equestions. |
| first_indexed | 2024-03-05T18:00:32Z |
| format | Monograph |
| id | utm.eprints-3022 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:00:32Z |
| publishDate | 2005 |
| publisher | Universiti Teknologi Malaysia |
| record_format | dspace |
| spelling | utm.eprints-30222017-03-02T03:45:21Z http://eprints.utm.my/3022/ A study of the boussinesq equation as a wave propagation in shallow water Isa, Mukheta Mohd. Siam, Fuaada Mat Isa, Zaiton Mohamed, Zamzulani QA Mathematics Shallow water waves has been expressed as a couple of equations by Whitham (1967). amny researchers have continued studies in this field by deriving the so-called Boussinesq equations. A straight forward derivation from the Whitham' shallow water equestions shall immediately produced a coupled form of Boussinesq equations. In this paper we use the Lagrange coordinates in order to derive the single Boussinesq equation to represent wave motion on the surface of shallow water. We shall also discuss its solution by using the Hirota bilinear method and the KP hierarchy of equestions. Universiti Teknologi Malaysia 2005-12 Monograph NonPeerReviewed application/pdf en http://eprints.utm.my/3022/1/75174.pdf Isa, Mukheta and Mohd. Siam, Fuaada and Mat Isa, Zaiton and Mohamed, Zamzulani (2005) A study of the boussinesq equation as a wave propagation in shallow water. Project Report. Universiti Teknologi Malaysia. (Unpublished) https://www.researchgate.net/publication/301283212_A_study_of_the_boussinesq_equation_as_a_wave_propagation_in_shallow_water |
| spellingShingle | QA Mathematics Isa, Mukheta Mohd. Siam, Fuaada Mat Isa, Zaiton Mohamed, Zamzulani A study of the boussinesq equation as a wave propagation in shallow water |
| title | A study of the boussinesq equation as a wave propagation in shallow water |
| title_full | A study of the boussinesq equation as a wave propagation in shallow water |
| title_fullStr | A study of the boussinesq equation as a wave propagation in shallow water |
| title_full_unstemmed | A study of the boussinesq equation as a wave propagation in shallow water |
| title_short | A study of the boussinesq equation as a wave propagation in shallow water |
| title_sort | study of the boussinesq equation as a wave propagation in shallow water |
| topic | QA Mathematics |
| url | http://eprints.utm.my/3022/1/75174.pdf |
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