The Most Unstable Conditions of Modulation Instability

Figure 1

Sketch of initial surface elevation and wave number spectrum of Stokes modulated wave train for 𝜀₀=0.05,𝑘₀=10,𝑟₁=0.1,𝑀=4,𝑁=1024,𝑇₀/Δ𝑡=64.

(a)

(b)