Rogue waves and W-shaped solitons in the multiple self-induced transparency system
Rogue waves and W-shaped solitons in the multiple self-induced transparency system
复制标题
多重自感透明系统中的流氓波和W形孤子
作者：
Wang Xin;Liu Chong;Wang Lei
研究了多重自诱导透明（SIT）系统中平面波背景上的局域非线性波，与单一SIT系统相比，多重SIT系统对光波的放大和控制有重要的增强作用。给出了一个紧行列式表示的多参数有理解族。我们证明了这类解包含已知的流氓波解和不寻常的W形孤子解，它严格对应于包含调制不稳定性和低扰动频率区域稳定性的线性稳定性分析。通过适当选择电场分量的背景波数，揭示了反常波与W形孤子之间的状态转换以及高阶非线性叠加模式。特别是，我们的结果表明，多SIT系统承认平稳和非平稳的非线性模式在对比的结果在单一的SIT系统。相应地，详细揭示了非线性波的轨迹和频谱等重要特征。
We study localized nonlinear waves on a plane wave background in the multiple self-induced transparency (SIT) system, which describes an important enhancement of the amplification and control of optical waves compared to the single SIT system. A hierarchy of exact multiparametric rational solutions in a compact determinant representation are presented. We demonstrate that, this family of solutions contains known rogue wave solution and unusual W-shaped soliton solution, which strictly corresponds to the linear stability analysis that involves modulation instability and stability regimes in the low perturbation frequency region. State transitions between rogue waves and W-shaped solitons as well as the higher-order nonlinear superposition modes are revealed by the suitable choice for the background wavenumber of electric field component. In particular, our results show that, the multiple SIT system admits stationary and nonstationary nonlinear modes in contrast to the results in the single SIT system. Correspondingly, the important characteristics of the nonlinear waves including trajectories and spectrum are revealed in detail.