Figure 7: Plot of the time evolution of the 2D discrete system Eqs. (10–11) with σ = 0 (panels (a)) and the 1D LS equation (39) with σ̃ = 0 (panel (b)) in terms of |bm0(z)| (at the edge). The parameters are (ρ, κ) = (1, 0.3), ǫ = 2π/60, and ω0 = 2π/3 as in Fig. 5(b), and the envelope width is ν = 0.1. Periodic boundary conditions in m are used. Note in panel (b) the computation of the 1D LS equation stops at z ≈ z+ = 15 where the edge state delocalizes.
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