On the Bifurcation of a Random Spectrum of Weakly Nonlinear Deep‐Water Gravity Waves

摘要

The bifurcation of a narrow‐band homogeneous random spectrum of deep‐water gravity waves into an inhomogeneous random spectrum is studied under the assumption of weak nonlinearity. The modulational wavenumber for the bifurcation depends on the characteristic bandwidth of the spectrum as well as on the energy of the spectrum. The stability of the bifurcated spectrum is exami