Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schrödinger equations<xref rid="cpb_28_1_010504fn1" ref-type="fn">*</xref> <fn id="cpb_28_1_010504fn1"> <label>*</label> <p>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).</p> </fn>

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-Dong^{1, 2, †}, Wang Yang-yang¹, He Peng-Bin³

The transmission of the Kuznetsov–Ma breather solution in Eq. (6): (a) transmission for component |q₁|² and (b) transmission for component |q₂|². A notable feature is that they share the same type of shape, and they both have one peak and two valleys in each temporal periodic unit. The nonuniform exchange in Eq. (8) is shown in (c) for ξ₁ and in (d) for ξ₂. The parameters are ν = 1, C₁ = 1, C₂ = 0.65, C₃ = C₄ = 0, a₁ = 0.5965, and a₂ = 0.7.