On cnoidal waves and bores

@article{Benjamin1954OnCW,
  title={On cnoidal waves and bores},
  author={Thomas Brooke Benjamin and Michael James Lighthill},
  journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences},
  year={1954},
  volume={224},
  pages={448 - 460}
}
  • T. Benjamin, M. Lighthill
  • Published 22 July 1954
  • Physics
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
For a train of gravity waves of finite amplitude in a frame of reference in which they are stationary, it is suggested that, in addition to the volume flow per unit span Q and the total head R, one may usefully study a third constant S, the rate of flow of horizontal momentum(corrected for pressure force, and divided by the density). The values of Q, R and S probably determine the wave-train uniquely; this is proved explicitly for long waves in a new presentation of the ‘cnoidal wave’ theory… 
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