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Doubly periodic patterns of modulated hydrodynamic waves:exact solutions of the Davey-Stewartson system 被引量:1
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作者 J.-H. Li S.-Y. Lou K.-W. Chow 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第5期620-626,共7页
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 n... 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. 展开更多
关键词 Free surface waves · Periodic patterns · daveystewartson equations
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