These phase speeds are in full agreement with the result obtained by directly searching for sine-wave solutions of the linearised KdV and BBM equations.
22.
In a " dispersive " medium, the phase speed itself depends upon the frequency of the wave, making the relationship between wavelength and frequency nonlinear.
23.
On the other hand, for a given ( fixed ) wavelength, gravity waves in deeper water have a larger phase speed than in shallower water.
24.
While the phase velocity is a vector and has an associated direction, celerity or phase speed refer only to the magnitude of the phase velocity.
25.
The wavelength of capillary waves in water is typically less than a few centimeters, with a phase speed in excess of 0.2 meter / second.
26.
Surface gravity waves on a fluid are dispersive waves exhibiting frequency dispersion meaning that each wavenumber has its own frequency and phase speed.
27.
For " ? " equal to zero, the Camassa Holm equation has no frequency dispersion moreover, the linear phase speed is zero for this case.
28.
In the case of electromagnetic radiation such as light in free space, the phase speed is the speed of light, about 3?0 8 m / s.
29.
Showing a 3.8 % increase due to the effect of nonlinear amplitude dispersion, which wins in this case from the reduction of phase speed by frequency dispersion.
30.
Where " v " is called the phase speed ( magnitude of the phase velocity ) of the wave and " f " is the wave's frequency.
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