An integral equation for unsteady surface waves and a comment on the Boussinesq equation
- 13 September 1971
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 49 (4), 625-633
- https://doi.org/10.1017/s0022112071002295
Abstract
An integral equation for unsteady inviscid surface waves has been obtained. Existing known approximations are all derived from the one equation. The Boussinesq equation is obtained and criticized.Keywords
This publication has 3 references indexed in Scilit:
- Shoaling of Solitary Waves on Small SlopesJournal of the Waterways and Harbors Division, 1969
- On the Interactions of Permanent Waves of Finite AmplitudeJournal of Mathematics and Physics, 1964
- XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wavesThe London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1895