ON NONLINEAR WATER WAVES

被引：0
|
作者：
谢定裕
机构：
[1] Division of Applied Mathematics Brown University Providence
[2] Rhode Island 02912 U. S. A
来源：
ActaMathematicaScientia | 1983年 / 04期
关键词：
mode; ON NONLINEAR WATER WAVES;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Evolution equations for the amplitudes and phases of a dominant mode of the water wave are derived by using the variational method. A. fully nonlinear dispersion relation, which is valid for finite amplitudes, is obtained when the wave is representable by a dominant sinusoidal mode. The stability criterion of the sinusoidal wave state is established and it is shown that for small amplitudes the sinusoidal wave state is stable.
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页码：377 / 386
页数：10
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