Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves
Abstract
We have derived an equation governing the evolution of a random field of nonlinear, deep-water, gravity waves by extending the approach used by Zakharov [1] for describing the deterministic system. This equation accounts for both the effects of inhomogeneity and the energy transfer mechanism associated with the homogeneous spectrum. The narrow-band limit of this equation is used to study the stability of a random wavetrain to two-dimensional deterministic perturbations. The effect of randomness is found to reduce the growth rate and the extent of the instability.
- Publication:
-
Wave Motion
- Pub Date:
- 1980
- DOI:
- 10.1016/0165-2125(80)90029-3
- Bibcode:
- 1980WaMot...2....1C