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 dynamic evolution of the Akhmediev breather solution in Eq. (6) with the parameters ν = 1, C₁ = 1, C₂ = C₃ = 0, and C₄ = 1. (a)–(c) Dynamic evolution for component |q₁|², and (d)–(f) dynamic evolution for component |q₂|². Other parameters are as follows: (a) and (d) a₁ = 1.4, a₂ = 0; (b) and (e) a₁ = 0, a₂ = 1.2277; (c) and (f) a₁ = 1.4, a₂ = 1.2277.