Doubly periodic patterns of modulated hydrodynamic waves:exact solutions of the Davey-Stewartson system
Doubly periodic patterns of modulated hydrodynamic waves:exact solutions of the Davey-Stewartson system作者机构:Department of Mechanical Engineering University of Hong Kong Pokfulam Road Hong Kong China Department of PhysicsShanghai Jiao Tong University200030 Shanghai China
出 版 物:《Acta Mechanica Sinica》 (力学学报(英文版))
年 卷 期:2011年第27卷第5期
页 面:620-626页
核心收录:
学科分类:11[军事学] 0810[工学-信息与通信工程] 1105[军事学-军队指挥学] 080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 081002[工学-信号与信息处理] 110503[军事学-军事通信学] 0801[工学-力学(可授工学、理学学位)]
基 金:support of the Hong Kong Research Grants Council through contracts 711807E and 712008E
主 题:Free surface waves · Periodic patterns · DaveyStewartson equations
摘 要:Exact doubly periodic standing wave patterns of the Davey-Stewartson (DS) equations are derived in terms of rational expressions of elliptic *** 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 *** functions with two different moduli (periods) are necessary in the two *** relation between the moduli and the wave numbers constitutes the dispersion relation of such *** the long wave limit,localized pulses are recovered.