约化Ostrovsky方程峰值周期波的谱不稳定性
Spectral instability of the peaked periodic wave in the reduced Ostrovsky equation
摘要：
证明了具有二次和三次非线性项的约化Ostrovsky方程的峰值周期行波在具有零均值和相同周期的平方可积〔的〕周期函数空间中是谱不稳定的.主要的创新之处在于我们发现了一种新的不稳定现象：峰值周期波的不稳定性是由完全覆盖复平面上一个封闭垂直带的线性化算子的谱引起的。
英文摘要：
We show that the peaked periodic traveling wave of the reduced Ostrovsky equations with quadratic and cubic nonlinearity is spectrally unstable in the space of square integrable periodic functions with zero mean and the same period. The main novelty is that we discover a new instability phenomenon: the instability of the peaked periodic waves is induced by spectrum of a linearized operator which completely covers a closed vertical strip of the complex plane.
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