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 Kuznetsov–Ma breather solution in Eq. (8). (a) For ξ1 and (b) for ξ2. The parameters are ν = 1, C1 = 1, C2 = C3 = 0, and C4 = 0.35; a1 = 0.55, a2 = 0.284 (solid line); a1 = 0, a2 = 0.284 (short dashed line); a1 = 0.55, a2 = 0 (long dashed line).