RANDOM WAVE CLOSURES
RANDOM WAVE CLOSURES
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随机波闭合
DOI：
10.1002/sapm196948129
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发表时间：
1969
影响因子：
2.7
通讯作者：
A. Newell
中科院分区：
文献类型：
--
作者：
D. J. Benney;A. Newell
详细研究了弱非线性对色散波系统统计特性的影响。考虑到在某些初始时刻的谱累积量是足够光滑的，它表明，他们将保持光滑的零阶，保存在一个维度上的离散频谱可能最终产生。最重要的是，在考虑系统的长时间行为时，人们会得到零阶谱函数的闭包序列。与解决方案的irretractionalities明显的困难进行了讨论。封闭方程的结构依赖于一类奇异积分的渐近性态。
A detailed study is made of the way in which weak nonlinearities affect the statistical properties of a system of dispersive waves. Given that at some initial instant the spectral cumulants are sufficiently smooth it is shown that they will remain smooth to zeroth order, save in one dimension where a discrete spectrum may eventually be generated. Of prime interest is the fact that on considering the long time behavior of the system, one is led to a sequence of closures for the zeroth order spectral functions. Apparent difficulties associated with the irretraceability of the solution are discussed. The structure of the closure equations depends on the asymptotic behavior of a class of singular integrals.