作者: A. M. Balk,
期刊: Physics of Fluids (AIP Available online 1996) 卷期: Volume 8, issue 2
页码: 416-420
ISSN:1070-6631
年代: 1996
DOI:10.1063/1.868795
出版商: AIP
数据来源: AIP
摘要:
A Lagrangian for strongly nonlinear unsteady water waves (including overturning waves) is obtained. It is shown that the system of quadratic equations for the Stokes coefficients, which determine the shape of a steady wave (discovered by Longuet‐Higgins 100 years after Stokes derived his system of cubic equations) directly follows from the canonical system of Lagrange equations. Applications to the investigation of the stability of water waves and to the construction of numerical schemes are pointed out. ©1996 American Institute of Physics.
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