Instabilities of Weakly Nonlinear Standing Gravity Waves

@inproceedings{Okamura1984InstabilitiesOW,
  title={Instabilities of Weakly Nonlinear Standing Gravity Waves},
  author={Makoto Okamura},
  year={1984}
}
Instabilities of two-dimensional weakly nonlinear standing gravity waves on the surface of deep water are investigated on the basis of the Zakharov equation. It is found that the instability due to the resonant interaction among waves concerning the wave numbers k 0 and - k 0 gives the growth rate larger than that due to the resonant interaction among waves concerning k 0 . The restabilization of the entire system for large steepness does not occur for the standing wave. Furthermore, a coupled… CONTINUE READING