论文标题
纯四分调制不稳定性的杂斜结构过渡
Heteroclinic-structure transition of the pure quartic modulation instability
论文作者
论文摘要
我们表明，在纯Quartic系统中，调节不稳定性（MI）在两个关键频率的ωC1和ωC2（ωC2>ωC1）下经历异斜结构跃迁（HSTS），这表明系统中有显着的epatiotalmoporal行为。通过模式截断方法获得的不稳定性的复杂杂斜结构揭示了非线性波的所有可能动态轨迹，这使我们能够发现各种类型的费米 - 帕斯塔 - 乌拉姆（FPU）复发和akhmedieeev呼吸器（ABS）。当调制频率满足ω<ωc2时，杂斜结构包含两个与ABS相对应的分隔符，并具有调制最终状态的非线性波，它们单独将FPU复发分离为三个不同的区域。值得注意的是，越过临界频率ωc1，交错的FPU复发和ABS都基本上切换了它们的模式。这些HST行为将使MI研究具有活力。
We show that, in the pure-quartic systems, modulation instability (MI) undergoes heteroclinic-structure transitions (HSTs) at two critical frequencies of ω c1 and ω c2 ( ω c2 > ω c1 ), which indicates that there are significantchanges of the spatiotemporal behavior in the system. The complicated heteroclinic structure of instability obtained by the mode truncation method reveals all possible dynamic trajectories of nonlinear waves, which allows us to discover the various types of Fermi-Pasta-Ulam (FPU) recurrences and Akhmediev breathers (ABs). When the modulational frequency satisfies ω < ω c2 , the heteroclinic structure encompasses two separatrixes corresponding to the ABs and the nonlinear wave with a modulated final state, which individually separate FPU recurrences into three different regions. Remarkably, crossing critical frequency ω c1 , both the staggered FPU recurrences and ABs essentially switch their patterns. These HST behaviors will give vitality to the study of MI.
