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The Quarterly Journal of Mechanics and Applied Mathematics 1953 6(3):336-343; doi:10.1093/qjmam/6.3.336
© 1953 by Oxford University Press
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A NOTE ON GRAVITY WAVES OF FINITE AMPLITUDE

J. N. HUNT

( Imperial College London )

Some corrections are found necessary in Struik's paper on travelling waves. These do not invalidate the proof of the existence of finite travelling waves on water of finite depth, but lead to corrected forms of some of the approximate expressions for the wave profile and the speed of propagation.

It is pointed out that the amplitude of highest waves must decrease with decreasing depth. The definition of the velocity of propagation is considered, and an expression for the velocity to the third order is obtained, which indicates some necessary corrections to certain technical reports.


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