Abstract
We generalize Crapper's exact solution for capillary waves on fluid of infinite depth. We find two finite-depth solutions involving elliptic functions. We show they can also be interpreted as large amplitude symmetrical and antisymmetrical waves on a fluid sheet. Particularly interesting are the waves obtained from our solution in the limit when the fluid sheet is extremely thin.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference4 articles.
1. Byrd, P. F. & Friedman, M. D. 1971 Handbook of Elliptic Integrals for Engineers and Scientists.Springer.
2. Taylor, G. I. 1959 Proc. Roy. Soc. A253,296.
3. Crapper, D. G. , Dombrowspi, N. & Pyott, G. A. D. 1975 Proc. Roy. Soc. A342,209.
4. Crapper, D. G. 1957 J. Fluid Mech. 2,532.
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