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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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/4563 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | <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. |
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