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Doubly periodic patterns of modulated hydrodynamic waves:exact solutions of the Davey-Stewartson system 被引量：1

Doubly periodic patterns of modulated hydrodynamic waves:exact solutions of the Davey-Stewartson system
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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. 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.
作者 J.-H. Li S.-Y. Lou K.-W. Chow
机构地区 Department of Mechanical Engineering Department of Physics
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第5期620-626,共7页 力学学报（英文版）
基金 support of the Hong Kong Research Grants Council through contracts 711807E and 712008E
关键词 Free surface waves · Periodic patterns · DaveyStewartson equations Free surface waves · Periodic patterns · DaveyStewartson equations
分类号 O35 [理学—流体力学] TN911 [电子电信—通信与信息系统]
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Acta Mechanica Sinica
2011年 第5期

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