Abstract
In a previously published paper, Jang and Kwon (Ocean Engineering, 1995, 32:1862–1872) proposed a new iterative method to estimate nonlinear wave profiles and demonstrated its solution procedure. The solution was based on the Banach contraction mapping theorem, and the nonlinear operator was constructed from the Bernoulli equation. This paper is a sequel to that paper and seeks to establish the existence and uniqueness of the proposed method. Furthermore, frequency content of the profiles of the generated waves by the proposed scheme was analyzed by the fast Fourier transform (FFT). The obtained waves contained high-order nonlinear Fourier components of a Stokes' wave.
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