Doubly periodic patterns of modulated hydrodynamic waves:exact solutions of the Davey-Stewartson system

被引：0
|
作者：
K.-W.Chow [1 ]
机构：
[1] Department of Mechanical Engineering,University of Hong Kong,Pokfulam Road,Hong Kong,China
来源：
Acta Mechanica Sinica | 2011年 / 27卷 / 05期
关键词：
Free surface waves · Periodic patterns · DaveyStewartson equations;
D O I：
暂无
中图分类号：
O35 [流体力学];
学科分类号：
080103 ; 080704 ;
摘要：
Exact doubly periodic standing wave patterns of the Davey-Stewartson (DS) equations are derived in terms of rational expressions of elliptic functions.In fluid mechanics,DS equations govern the evolution of weakly nonlinear,free surface wave packets when long wavelength modulations in two mutually perpendicular,horizontal directions are incorporated.Elliptic functions with two different moduli (periods) are necessary in the two directions.The relation between the moduli and the wave numbers constitutes the dispersion relation of such waves.In the long wave limit,localized pulses are recovered.
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页码：620 / 626
页数：7
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