ON 2 SOLUTIONS OF 5TH-ORDER STOKES WAVES

It has been demonstrated numerically that there are two real solutions of the dispersion relation of fifth order Stokes waves given by Skjel breia and Hendrickson (Fifth order gravity wave theory, Proc. 7th Coas tal Engng Conf., The Hague, 1960, pp. 184-196) which is widely used an d recommended in offshore codes of practice. The additional solution p redicts a triple crested wave and it always seems to coexist with the conventionally accepted solution. Some properties of this solution are given.