关于重力表面波非线性相互作用
ON THE NONLINEAR INTERACTIONS AMONG GRAVITY SURFACE WAVES
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摘要: 本文利用小摄动法在作者以前求得的二阶近似解的基础上给出任意水深重力表面波非线性相互作用的四阶近似理论解(包括基本波系波数矢固定、频率摄动和波数矢、频率皆固定二种情况),并由此得四阶近似推进波,三向波及斜向波与直墙相互作用的理论解.Abstract: A fourth order theory for nonlinear interactions among gravity waves in water of any depth has been presented in this paper.Based on this solution exprssions to the same order for progressive waves,short-crested waves and nonlinear interaction between wave and vertical wall has also been derived.
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