The Effect of Amplitude on the Period of Solitary Waves
نویسندگان
چکیده
The amplitude of solitary waves significantly affects the properties of the waves by changing their degree of nonlinearity. The period of solitary waves e.g. decreases nonlinearly with amplitude. Observations of solitary waves propagating under similar stratification conditions, but with different amplitudes, were compared to identify how the wave period depends on wave amplitude under field conditions. In addition, we employed the Korteweg-de Vries (KdV) equation and the Dubreil-Jacotin-Long (DJL) equation to simulate the dependence of solitary wave period on amplitude. The amplitude dependence of period simulated by the DJL model is in good agreement with the field observations whereas the KdV simulations are only accurate within the lower range of amplitudes of solitary waves occurring in the field.
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