Broad-Banded Nonlinear Surface Waves in the Open Sea
The following sections are included:
Background
Fourier Formulation
Multiple Time Scales
Conditions for Quartet Resonance
Simple Solutions
Interaction of Two Waves
Interaction of Four Waves (Quartet Interaction)
Reduction to One Unknown
Solution for Periodic Envelopes
The Cubic Schrödinger Equation
Benjamin–Feir Instability of Stokes Waves
Kinetic Equation of Hasselmann
Extensions
Appendix 14.A Details of Derivation
Appendix 14.A.1 Fourier Transforms of the Free Surface Conditions
Appendix 14.A.2 Surface Properties for Waves of Small Steepness
Appendix 14.A.3 Inverting (14.2.9) by Iteration
Appendix 14.B Kernels