Three‐Dimensional Stability and Bifurcation of Capillary and Gravity Waves on Deep Water

摘要

The stability to three‐dimensional disturbances of finite‐amplitude capillary waves on deep water is studied. Two families of steady finite‐amplitude three‐dimensional capillary waves, which result from the bifurcation associated with stationary disturbances, are calculated. Earlier work on three‐dimensional gravity waves is extended, and a new family of solutions