Integral properties of periodic gravity waves of finite amplitude

@article{LonguetHiggins1975IntegralPO,
  title={Integral properties of periodic gravity waves of finite amplitude},
  author={H. C. Longuet-Higgins},
  journal={Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences},
  year={1975},
  volume={342},
  pages={157 - 174}
}
  • H. C. Longuet-Higgins
  • Published 1975
  • Physics
  • Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
A number of exact relations are proved for periodic water waves of finite amplitude in water of uniform depth. Thus in deep water the mean fluxes of mass, momentum and energy are shown to be equal to 2T(4T—3F) and (3T—2V) crespectively, where T and V denote the kinetic and potential energies and c is the phase velocity. Some parametric properties of the solitary wave are here generalized, and some particularly simple relations are proved for variations of the Lagrangian The integral properties… Expand

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