Vector rogue waves and baseband modulation instability of coupled nonlinear Schrödinger equations for internal gravity waves
Vector rogue waves and baseband modulation instability of coupled nonlinear Schrödinger equations for internal gravity waves
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DOI：
10.1016/j.chaos.2023.113639
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发表时间：
2023-08
期刊：
影响因子：
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通讯作者：
Jingxuan Geng;Huanhe Dong;Jing Xu;Lei Fu
中科院分区：
文献类型：
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作者：
Jingxuan Geng;Huanhe Dong;Jing Xu;Lei Fu
本文从两层f平面的原始方程出发，采用多尺度分析和摄动方法，导出了描述中尺度大气中两种重力内波演化的三阶耦合非线性薛定谔方程。在此基础上，通过引入两个保积分变换，得到暴雨形成机制之一的矢量罗格波解。通过对调制不稳定性（MI）的分析，我们发现Rogue波的存在是由一种特殊的MI，即基带MI决定的。这为矢量异常波的预报提供了理论依据。
In this paper, from the original equations for the two-layer f plane, the third-order coupled nonlinear Schrödinger equations are derived to describe the evolution of two internal gravity waves in the mesoscale atmosphere by using multi-scale analysis and perturbation method. Based on the equation, the vector rogue-wave solutions, which are one of the mechanisms for rainstorm formation, can be obtained through the introduction of two integral preserving transformations. After the modulation instability (MI) analysis, we find the rogue-wave existence is determined by a special MI, namely baseband MI. This may provide a theoretical basis for the prediction of vector rogue waves.