Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations*

Project supported by the National Natural Science Foundation of China (Grant No. 61774001) and the Natural Science Foundation of Hunan Province, China (Grant No. 2017JJ2045).
Li Zai-Dong1, 2, †, Wang Yang-yang1, He Peng-Bin3
       

The nonuniform exchange of the transformation from the Kuznetsov–Ma breather solution to rogue waves in Eq. (8): (a) For ξ1 and (b) for ξ2. The parameters are C1 = −1, C2 = 1, C3 = 3, C4 = −3, a1 = 0.8, and a2 = 0.7; ν = 1.2649 (short dashed line); ν = 1.1401 (long dashed line); ν = 1.063 (solid line).