N-modal steady water waves with vorticity
arXiv:1612.04671 · doi:10.1007/s00021-017-0346-1
Abstract
The problem for two-dimensional steady gravity driven water waves with vorticity is investigated. Using a multidimensional bifurcation argument, we prove the existence of small-amplitude periodic steady waves with an arbitrary number of crests per period. The role of bifurcation parameters is played by the roots of the dispersion equation.