Instabilities of finite-amplitude gravity waves on water of finite depth
- 1 January 1982
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 114 (-1) , 331-341
- https://doi.org/10.1017/s0022112082000184
Abstract
A study of the instabilities of finite-amplitude periodic gravity waves has extended recent deep-water results to finite depth. Results are presented for three depths, one greater and two less than the depth for stabilization of two-dimensional long-wave perturbations. The results include those instabilities found by perturbation methods as well as some new types of instability.Keywords
This publication has 10 references indexed in Scilit:
- Instabilities of finite-amplitude water wavesJournal of Fluid Mechanics, 1982
- Three-Dimensional Instability of Finite-Amplitude Water WavesPhysical Review Letters, 1981
- A new type of three-dimensional deep-water wave of permanent formJournal of Fluid Mechanics, 1980
- Some New Relations Between Stokes's Coefficients in the Theory of Gravity WavesIMA Journal of Applied Mathematics, 1978
- Oblique instability of periodic waves in shallow waterJournal of Fluid Mechanics, 1978
- Group velocity and nonlinear dispersive wave propagationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1973
- Instability of monochromatic waves on the surface of a liquid of arbitrary depthJournal of Applied Mechanics and Technical Physics, 1973
- Wave InstabilitiesStudies in Applied Mathematics, 1969
- The disintegration of wave trains on deep water Part 1. TheoryJournal of Fluid Mechanics, 1967
- Non-linear dispersion of water wavesJournal of Fluid Mechanics, 1967