A sketched demonstration for the limit case | ν | → ( a 1 2 + a 2 2 ) + in Kuznetsov–Ma breather solution using Eq. (6) with C₁ = −1, C₂ = 1, C₃ = 3, C₄ = −3, a₁ = 0.8, and a₂ = 0.7. Note that there is also one peak and two caves in each periodic unit. (a)–(c) For component |q₁|², and (d)–(f) for component |q₂|². The modulation parameter ν of the Kuznetsov–Ma breather is as follows: (a) and (d) ν = 1.2649; (b) and (e) ν = 1.1401; (c) and (f) ν = 1.063.