WAVE GROUP DALAM PERSAMAAN KDV
<b>Abstrak</b><p align=\"justify\"> <br /> In this paper, KdV-equation as a model equation for surface waves is considered. In particular, solutions of the form of wave groups will be investigated. First and second order contributions (in a small parameter that cha...
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id-itb.:45632006-03-23T13:01:50ZWAVE GROUP DALAM PERSAMAAN KDV Yodi GUnawan , Agus Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/4563 <b>Abstrak</b><p align=\"justify\"> <br /> In this paper, KdV-equation as a model equation for surface waves is considered. In particular, solutions of the form of wave groups will be investigated. First and second order contributions (in a small parameter that characterizes the amplitude) are calculated. The amplitude is shown to be a Nonlinear Schrodinger Equation (NLS) for normal dispersion, implying that no exponentially confined wave groups are found for KdV. A numerical scheme for the amplitude equation based on Fourier truncation is discussed. Consistent discretization via Hamiltonian structure is resulted to produce the discretized equations. text |
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<b>Abstrak</b><p align=\"justify\"> <br />
In this paper, KdV-equation as a model equation for surface waves is considered. In particular, solutions of the form of wave groups will be investigated. First and second order contributions (in a small parameter that characterizes the amplitude) are calculated. The amplitude is shown to be a Nonlinear Schrodinger Equation (NLS) for normal dispersion, implying that no exponentially confined wave groups are found for KdV. A numerical scheme for the amplitude equation based on Fourier truncation is discussed. Consistent discretization via Hamiltonian structure is resulted to produce the discretized equations. |
| format |
Theses |
| author |
Yodi GUnawan , Agus |
| spellingShingle |
Yodi GUnawan , Agus WAVE GROUP DALAM PERSAMAAN KDV |
| author_facet |
Yodi GUnawan , Agus |
| author_sort |
Yodi GUnawan , Agus |
| title |
WAVE GROUP DALAM PERSAMAAN KDV |
| title_short |
WAVE GROUP DALAM PERSAMAAN KDV |
| title_full |
WAVE GROUP DALAM PERSAMAAN KDV |
| title_fullStr |
WAVE GROUP DALAM PERSAMAAN KDV |
| title_full_unstemmed |
WAVE GROUP DALAM PERSAMAAN KDV |
| title_sort |
wave group dalam persamaan kdv |
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https://digilib.itb.ac.id/gdl/view/4563 |
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