ON THE MODULATIONAL STABILITY OF TRAVELING AND STANDING WATER-WAVES

被引：37

作者：

PIERCE, RD

KNOBLOCH, E

机构：

[1] Department of Physics, University of California, Berkeley

来源：

PHYSICS OF FLUIDS | 1994年 / 6卷 / 03期

关键词：

D O I：

10.1063/1.868288

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Asymptotically exact evolution equations are derived for trains of small amplitude counterpropagating water waves over finite depth. Surface tension is included. The resulting equations are nonlocal and generalize the equations derived by Davey and Stewartson for unidirectional wave trains. The stability properties of stationary standing and quasiperiodic waves are determined as a function of surface tension and fluid depth for both long wavelength longitudinal and transverse perturbations.

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页码：1177 / 1190

页数：14

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