高频WKB解的高阶共振和不稳定性
Higher-order resonances and instability of high-frequency WKB solutions
摘要：
本文重点研究高频WKB解决方案中共振的不稳定作用。具体来说，我们研究高阶共振与非线性产生的高阶谐波。我们给出了这样的共振产生瞬时不稳定性的系统和解决方案的例子，即使围绕领先的WKB项线性化的方程最初是稳定的，这意味着特别是关键的不稳定项不存在于数据中。
英文摘要：
This paper focuses on the destabilizing role of resonances in high-frequency WKB solutions. Specifically, we study higher-order resonances associated with higher-order harmonics generated by nonlinearities. We give examples of systems and solutions for which such resonances generate instantaneous instabilities, even though the equations linearized around the leading WKB terms are initially stable, meaning in particular that the key destabilizing terms are not present in the data.
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