Numerical calculation for the coefficients of stokes harmonic waves of high order

This paper has reformulated the mathematical model and boundary conditions in the semi-physical plan (x, ψ) by using W.H. Hui’s method and suggested two new ways of numerical calculation for the coefficients of Stokes harmonic waves of high order. By transforming the perturbation parameter ε into a new one we refind Cokelet’s results (1977) of phase speed and semi-waveheight expressions. The research is supported by National Science Foundation.