论文标题
重新评估Whitham的1967年理论，用于浅水中的波均流动相互作用
Reappraisal of Whitham's 1967 theory for wave-mean flow interaction in shallow water
论文作者
论文摘要
基于平均的拉格朗日（平均拉格朗日）衍生的浅水与波产生的平均流的stokes波的调制方程。首先，可以证明它们可以被重塑为两个耦合的经典浅水方程，而修改后的重力具有whitham索引的符号：符号（$ω_0''''ω_2$）。其次，表明波浪的平均流量和幅度的幅度通常是独立的。第三，研究了合并特征的含义，它们的展开与本杰明 - 狂热的不稳定性相关。
The modulation equations for Stokes waves in shallow water coupled to wave generated mean flow, derived in Whitham (1967), based on an averaged Lagrangian are revisited. Firstly, it is shown that they can be recast into two coupled classical shallow water equations, with modified gravity having the sign of the Whitham index: sign($ω_0'' ω_2$). Secondly, it is shown that the amplitude of the mean flow and amplitude of the wave are, in general, independent. Thirdly, the implications of the coalescing characteristics, whose unfolding is associated with the Benjamin-Feir instability, are studied.
