Stability of Fully Nonlinear Stokes Waves on Deep Water: Part 1. Perturbation Theory

• Main Authors: Sajjadi, Shahrdad G, Ross, David L
• Format: Journal Article
• Language: English
• Published: 22.04.2017
• Subjects: Physics - Fluid Dynamics

We consider a full set of harmonics for the Stokes wave in deep water in the absence of viscosity, and examine the role that higher harmonics play in modifying the classical Benjamin-Feir instability. Using a representation of the wave coefficients due to Wilton, a perturbation analysis shows that t...