SPECTRAL METHOD FOR SIMULATION OF SOLITON KORTEWEG DE-VRIES EQUATION
This thesis discusses about spectral method for Korteweg de-Vries (KdV) equation. KdV equation is a nonlinear equation with dispersion. The equation admits soliton solution that travels undisturbed in shape, which express the perfect balance between nonlinearity and dispersion. The spectral metho...
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| Format: | Theses |
| Language: | Indonesia |
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| Online Access: | https://digilib.itb.ac.id/gdl/view/33932 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | This thesis discusses about spectral method for Korteweg de-Vries (KdV) equation.
KdV equation is a nonlinear equation with dispersion. The equation admits soliton
solution that travels undisturbed in shape, which express the perfect balance between
nonlinearity and dispersion. The spectral method which is directly related to the
Fourier transform method turns out to be suitable for soliton simulation. Here we
will show that spectral method is able to simulate solitary wave travels undisturbed
in shape. We will also simulate an initial hump splits into 2-soliton or 3-soliton.
These solitons have amplitudes and velocities that conrm the analytical formulas. |
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