AI 中文总结
该研究在耦合Fokas-Lenells框架下，揭示了不等背景中矢量KMBs的两类态转变机制，确定了转变阈值，经数值验证了相关结果。
AI 中文摘要
我们研究了不等背景下耦合Fokas-Lenells框架中矢量库兹涅佐夫-马呼吸子（KMBs）的两类态转变机制。振幅失衡打破了谱反射对称性，产生了更丰富的呼吸子形态。在简并扇区，从相反侧趋近非自共轭简并曲线的KMBs会产生不同的极限孤子，揭示了不连续的KMB到孤子的转变。在非简并扇区，背景平面波在特定波数处实现频率匹配，将KMB转换为单孤子或双孤子态。我们确定了精确的转变阈值，并表征了附近解如何随参数变化。我们进一步研究了自共轭简并曲线和态转变波数处实谱上出现的特殊极限机制，数值激发为这些结果提供了进一步证据。
英文摘要
We study two types of mechanisms of state transitions for vector Kuznetsov-Ma breathers (KMBs) in the coupled Fokas-Lenells framework on unequal backgrounds. The amplitude imbalance breaks spectral reflection symmetry and generates richer breather morphologies. In the degenerate sector, KMBs approaching a non-self-conjugate degeneration curve from opposite sides yield different limiting solitons, revealing a discontinuous KMB-to-soliton transition. In the nondegenerate sector, the background plane waves become frequency matched at a special wavenumber, converting the KMB into a single- or two-soliton state. We determine the exact transition threshold and characterize how nearby solutions vary with the parameter. We further investigate special limiting mechanisms arising on the self-conjugate degeneration curve and on the real spectrum at the state-transition wavenumber. Numerical excitation provides further evidence for these results.
