𝑞-Advanced Models for Tsunami and Rogue Waves

Figure 7

Parameters: 𝑐=1.0, 𝜆=1.0, 𝜏=𝑞=3/2, and 𝛾=1/𝑞=2/3. (a) Forcing profile 𝐹_𝑞 converges toward 𝑥=0 as 𝑡→0⁻; (b) rogue solution Ψ_𝑞 in a neighborhood of 𝑥=0 that oscillates over time; (c) forcing with ‖𝐹_𝑞‖_∞≤1/𝑞²=4/9 and solution with ‖Ψ_𝑞‖_∞=1.

(a)

(b)

(c)