On weakly nonlinear modulation of waves on deep water

@article{Trulsen2000OnWN,
  title={On weakly nonlinear modulation of waves on deep water},
  author={K. Trulsen and I. Kliakhandler and K. Dysthe and M. Velarde},
  journal={Physics of Fluids},
  year={2000},
  volume={12},
  pages={2432-2437}
}
We propose a new approach for modeling weakly nonlinear waves, based on enhancing truncated amplitude equations with exact linear dispersion. Our example is based on the nonlinear Schrodinger (NLS) equation for deep-water waves. The enhanced NLS equation reproduces exactly the conditions for nonlinear four-wave resonance (the “figure 8” of Phillips) even for bandwidths greater than unity. Sideband instability for uniform Stokes waves is limited to finite bandwidths only, and agrees well with… Expand

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