On the Propagation of Weakly Nonlinear Random Dispersive Waves
On the Propagation of Weakly Nonlinear Random Dispersive Waves
复制标题
弱非线性随机色散波的传播
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
N. Tzvetkov
中科院分区：
文献类型：
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作者：
A. Suzzoni;N. Tzvetkov
我们研究了几个具有随机周期初值的基本色散模型，使得不同的傅立叶模是独立的随机变量。在相关主题的大量物理文献的激励下，我们随后研究了在稍后时间解的傅里叶模式在多大程度上保持去相关。我们的结果对与色散关系相关的共振和对初始数据的特殊选择很敏感。
We study several basic dispersive models with random periodic initial data such that the different Fourier modes are independent random variables. Motivated by the vast physics literature on related topics, we then study how much the Fourier modes of the solution at later times remain decorrelated. Our results are sensitive to the resonances associated with the dispersive relation and to the particular choice of the initial data.